Connecticut, USAMost of us agree and follow the way leaderboards like OOT and DK64 are being run.
There is this fantastic feature on SRC for every user that allows you to filter out the other platforms so you can compare N64 by itself which I suggest using.
I think speedrunning is mainly about self improvement and anybody who wants to take it seriously or try to beat the WR should play on the fastest officially released version of the same game.
That same argument can be made for people who only have Xbox one considering the cart used to go for quite a lot. The price of an original used Xbox one and Rare Replay really isn't that much different than an N64 and a cartridge of BFD (even though the price of a cart seems to have dropped a bit recently) so I disagree and say it's not 'pay to win' in this community.
I wouldn't mind making it a misc category if you're still interested, sorry for the late response.
You have to play on N64 with a N64 controller.
It seems to vary a bit from console to console, however in my experience with my 360 slim it was nearly impossible to run as it would crash way too often (several times during my first couple runs iirc) and the loading zones were really slow on top of that. Feel free to try as your 360 might work better than mine but I'd highly recommend getting an original xbox if you ever plan to take the game more seriously.
Sorry for the late response but was it this?
This is a TAS only thing and really doesn't have any use outside of that.
