Being fast does not make you a power user. "The button works when I push it twice" is a reasonable expectation of a device by default. If that weren't the default, then most people would have a worse experience with their phone.
It could probably be done as a global device setting - e.g. ignore taps within 100ms if they're within 50px of each other or whatever.
So, for me, on the argument of about accessibility, the Nothing Phone behavior will work a lot better I think. In their mind they don't count and click 6 times to put the image in a specific position. In addition with considering that it would not make much sense to click 8 times in advance to turn back in the exact position where you are.
The mindset in their case is more: click and wait, compare if it is the position you want and do it again. The other sensitive button that will bufer would probably trigger overshooting, going too far, then too back, etc... similarly to when you have issue scrolling in a list to the right spot.
The case of the iphone would be better only for someone like a younger person, tech nerd, that want things to go fast without having to wait. Same thing for computer keyboards where I could type multiple letters in advance before the first one even show up on the screen with the lag.