We don't have a widely-understood cross-cultural shorthand for annotating an item's 'newness'. By contrast, we are all familiar with objects retaining their identity while they move.
When I minimize my window in macOS, it physically transforms and is sent to its new location. I know where the window I was working on went, and I as a person would have a good reason to be able to somewhat or even mostly comprehend this even if I hadn't ever seen macOS before.
With no animation, the large and prominent window I have been using would immediately disappear with no indication where it went, and the minimized icon in the dock would be highly likely to be overlooked. It would also look almost exactly like "closing" the window, and it would be easy for an inexperienced user to think minimizing a window and closing it are the same thing. I can assure you, this blurred conceptual distinction is not an imaginary problem.
Sure, I don't personally need this animation because I'm an experienced user already. However, in almost all cases it is fundamentally flawed to approach interface design by considering only the needs and preferences of experienced users.
Sure, I don't dispute that for a second. However, we seem to have moved from "UI animation is categorically worse in all cases" to something like "UI animation is categorically worse for moderate-to-experienced users".
Frustration comes not from animation speed (except unreasonably slow), but from animations that freeze the interface. If you buy item and it jumps into a cart; if new item arrives and inserts into a list; if you change pages with < > buttons -- it is okay if it animates, but what is not okay is that you cannot click another button or simply scroll before the end of entire animation or at least slow part of ease-in curve. UI simply has response delays because of these tail timeouts. It feels slower because you cannot train yourself to catch a right moment on ultraslow ends of ease-in -- and so you tap twice to make an action or wait extra. (edit: remember how you quickly tapped on your phone to emulate g-sync with your finger?)
So, when you click buy, item starts jumping into cart, but you can instantly go back or buy/open another item. When you change pages and tap < twice, it just scrolls/rotates/whatever twice as fast. When new items arrive, space for them expands almost instantly, and then "new" animation goes, not interfering with your actions. If new items arrive continuously, debounce on 800-1500ms to prevent animations spoiling the entire interaction. And so on.
You may be interested in this mod: http://falloutmods.wikia.com/wiki/Sfall
I enjoyed playing Fallout 1 and 2 as a child, but I had very low standards back then. I now consider them unplayable without using this mod to speed up the animation.
Animations are (if done right) very useful in games. It's what makes you feel, for example, the difference between a weak damage (HP bar drops slowly) and something to watch out for (the HP bar actually shakes as a chunk is wiped out).
It also helps with immersion.
That use of animation is okay, but to make your product accessible, just make sure that there is a way to turn off the animation. Easing effects and simulation of real physical motion are not needed. Apple's out-of-the-box UIs are unusable to me. My window manager (i3wm) has no animation.