Looking at the first comparison, I will admit, I thought the issue was with the iPhones example. The button and slider below the image disappear, then fade back in after each press of the rotate button, a behaviour I have seen on iOS across many applications that irks me to no end. The Screenshot app being a particular bug bear of mine.
If you have a UX element that I will be able to interact with before and after an interaction, then keep it visible during the transformation, process, whatever. What UX gain is there in hiding these buttons during the rotation on the iPhone? It doesn't even look better, though appearance has been the altar that recent Apple software has sacrificed actual UX gains.
Will agree with the author though that these taps need to be processed independent of animation.
I wish software apps had "tape-out rules" the way that computer chips do. Basically, when you design a computer chip, a program reviews the design and compares it against something like 300 pages of rules with stuff like "wires of X metal and Y metal can't be within Z distance of each other".
We could make something similar for UX. Just a bunch of design pattern constraints that throw flags if you try to ship something with well established UX warts.