Пользовательский эффект, имитирующий 3D-колесо в Swiper 5

Думаю, это то, что вам нужно: https://codepen.io/mukyuu/pen/GRgPYqG.

Он почти выполнил ваши условия, за исключением того, что он не использует Swiper 5 и оснастку.

1. Он вращается вместе с направлением движения.
2. При быстром смахивании он должен быстро прокрутить множество слайдов (как это делает Swiper).
3. Затем, когда колесо перестает вращаться, оно фиксируется на слайде (как это делает Swiper).
4. В функции ontouch есть обратный вызов.

HTML:

<div class="carousel" id="wrapper">
    <figure>
    <img src="https://source.unsplash.com/7mUXaBBrhoA/800x533" alt="">
    <img src="https://source.unsplash.com/bjhrzvzZeq4/800x533" alt="">
        <img src="https://source.unsplash.com/EbuaKnSm8Zw/800x533" alt="">
        <img src="https://source.unsplash.com/kG38b7CFzTY/800x533" alt="">
        <img src="https://source.unsplash.com/nvzvOPQW0gc/800x533" alt="">
        <img src="https://source.unsplash.com/mCg0ZgD7BgU/800x533" alt="">
    <img src="https://source.unsplash.com/1FWICvPQdkY/800x533" alt="">
        <img src="https://source.unsplash.com/VkwRmha1_tI/800x533" alt="">
    </figure>
</div>

S (CSS):

body {
    margin: 0;
    font-family: 'Roboto';
    font-size: 16px;

    display: flex;
    flex-direction: column;
    height: 100vh;
    justify-content: center;
}

// Carousel configuration parameters
$n: 8;
$item-width: 400px;
$item-separation: 80px;
$viewer-distance: 500px;

// Derived variables
$theta: 2 * 3.141592653589793 / $n; 
$apothem: 482.842712474619px;

.carousel {
    padding: 20px;

    perspective: $viewer-distance;
    overflow: hidden;

    display: flex;
    flex-direction: column;
    align-items: center;
    > * {
        flex: 0 0 auto;
    }

    figure {
        cursor: grab;
        margin: 0;

        width: $item-width;
        transform-style: preserve-3d;
        transition: transform 0.5s;
        transform-origin: 50% 50% (-$apothem);

        img {
            width: 100%;
            box-sizing: border-box;
            padding: 0 $item-separation / 2;

            opacity: 0.9;

            &:not(:first-of-type) {
                position: absolute;
                left: 0;
                top: 0;
                transform-origin: 50% 50% (-$apothem);
            }

            @for $i from 2 through $n {
                &:nth-child(#{$i}) {
                    transform: rotateY(#{($i - 1) * $theta}rad);
                }
            }
        }
    }

    nav {
        display: flex;
        justify-content: center;
        margin: 20px 0 0;

        button {
            flex: 0 0 auto;
            margin: 0 5px;

            cursor: pointer;

            color: #333;
            background: none;
            border: 1px solid;
            letter-spacing: 1px;
            padding: 5px 10px;
        }
    }
}

JS:

var
    carousel = document.querySelector('.carousel'),
    figure = carousel.querySelector('figure'),
    nav = carousel.querySelector('nav'),
    numImages = figure.childElementCount,
    theta =  2 * Math.PI / numImages,
    currImage = 0
;

// add touch detect:
function ontouch(el, callback){
 // Modified from http://www.javascriptkit.com/javatutors/touchevents3.shtml
    var touchsurface = el,
    dir,
    swipeType,
    startX,
    startY,
    distX,
    distY,
    threshold = 150, //required min distance traveled to be considered swipe
    restraint = 100, // maximum distance allowed at the same time in perpendicular direction
    allowedTime = 500, // maximum time allowed to travel that distance
    elapsedTime,
    startTime,
    handletouch = callback || function(evt, dir, phase, swipetype, distance){}

    touchsurface.addEventListener('touchstart', function(e){
        var touchobj = e.changedTouches[0]
        dir = 'none'
        swipeType = 'none'
        dist = 0
        startX = touchobj.pageX
        startY = touchobj.pageY
        startTime = new Date().getTime() // record time when finger first makes contact with surface
        handletouch(e, 'none', 'start', swipeType, 0) // fire callback function with params dir="none", phase="start", swipetype="none" etc
        e.preventDefault()

    }, false)

    touchsurface.addEventListener('touchmove', function(e){
        var touchobj = e.changedTouches[0]
        distX = touchobj.pageX - startX // get horizontal dist traveled by finger while in contact with surface
        distY = touchobj.pageY - startY // get vertical dist traveled by finger while in contact with surface
        if (Math.abs(distX) > Math.abs(distY)){ // if distance traveled horizontally is greater than vertically, consider this a horizontal movement
            dir = (distX < 0)? 'left' : 'right'
            handletouch(e, dir, 'move', swipeType, distX) // fire callback function with params dir="left|right", phase="move", swipetype="none" etc
        }
        else{ // else consider this a vertical movement
            dir = (distY < 0)? 'up' : 'down'
            handletouch(e, dir, 'move', swipeType, distY) // fire callback function with params dir="up|down", phase="move", swipetype="none" etc
        }
        e.preventDefault() // prevent scrolling when inside DIV
    }, false)

    touchsurface.addEventListener('touchend', function(e){
        var touchobj = e.changedTouches[0]
        elapsedTime = new Date().getTime() - startTime // get time elapsed
        if (elapsedTime <= allowedTime){ // first condition for awipe met
            if (Math.abs(distX) >= threshold && Math.abs(distY) <= restraint){ // 2nd condition for horizontal swipe met
                swipeType = dir // set swipeType to either "left" or "right"
            }
            else if (Math.abs(distY) >= threshold && Math.abs(distX) <= restraint){ // 2nd condition for vertical swipe met
                swipeType = dir // set swipeType to either "top" or "down"
            }
        }
        // Fire callback function with params dir="left|right|up|down", phase="end", swipetype=dir etc:
        handletouch(e, dir, 'end', swipeType, (dir =='left' || dir =='right')? distX : distY)
        e.preventDefault()
    }, false)
}
function DoSomething(dir, distance) {
  //modifiy this function for wheel rotation (prev/next) images
  var momentum = 100; // modify this value for how much momentum expected to switch to next/prev images
  switch (dir){
    case 'left':
    case 'right':
      currImage+= Math.round(distance/momentum);
      break;
  }
    figure.style.transform = `rotateY(${currImage * -theta}rad)`;
}
document.getElementById('wrapper').ondragstart = function() { return false; }; // prevent image dragged on mouse drag
window.addEventListener('load', function() {
  var dir, phase, el = document.getElementById('wrapper'),
    position = {
      X: 0,
      Y: 0
    };

  el.onmousedown = function(down) {
    position.X = down.clientX;
    position.Y = down.clientY;
  };

  el.onmouseup = function(up) {
    distX = up.clientX - position.X; // get horizontal dist traveled by finger while in contact with surface
    distY = position.Y - up.clientY; // get vertical dist traveled by finger while in contact with surface
    if (Math.abs(distX) > Math.abs(distY)) { // if distance traveled horizontally is greater than vertically, consider this a horizontal movement
      dir = (distX < 0) ? 'left' : 'right';
      distance = distX;
    } else { // else consider this a vertical movement
      dir = (distY < 0) ? 'down' : 'up';
      distance = distY;
    }
    dir = (distance == 0) ? 'none' : dir;
    DoSomething(dir, distance); // simulate touch from mouse control
  }; 
  ontouch(el, function(evt, dir, phase, swipetype, distance){
 // evt: contains original Event object
 // dir: contains "none", "left", "right", "top", or "down"
 // phase: contains "start", "move", or "end"
 // swipetype: contains "none", "left", "right", "top", or "down"
 // distance: distance traveled either horizontally or vertically, depending on dir value

 if ( phase == 'end' && (dir =='left' || dir == 'right') ) // on succesful swipe
   DoSomething(dir, distance);
})
}, false)

Протестировано в браузерах Android 9 и Windows 10.