Why video is shifted on iPad.

iPad video player bubbles all mouse events over video frame, which makes impossible to place any element over it, so to find some place for close video button video frame size is reduced by 44px

Video container get's class rsIOSVideo, so you may easily override this behaviour from CSS, file royalslider.css, around line 190:

.rsVideoContainer.rsIOSVideo iframe,
.rsVideoContainer.rsIOSVideo video,
.rsVideoContainer.rsIOSVideo embed {
    -webkit-box-sizing: border-box;
    -moz-box-sizing: border-box;
    box-sizing: border-box;
    padding-right: 44px;
}

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