In this case, it was being used to animate the background-color of the header on the mobile site menu: when the mobile menu was opened, the header (IF logo, site name) would be animated to opacity: 1 and background-color: white (vice versa when menu closed).
May be some slight changes in framerates on the animation in CSS transitions. Would be great to see what you both think.
Removing jQueryUI improves page load time by 15-20%, depending on metrics you're looking at.
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Thank you!