> Once you interview and turn them down then will they interview you again? Doesn't that close a lot of doors?

Currently, at least, big tech cos will keep that door open. Think of it this way - a company spending $$$ on recruiters cold-emailing a bunch of candidates, the majority of whom fail the process, isn't gonna throw away leads of people who they know have passed the process at least once.

My solution to this is to book many of my interviews in places where I am unwilling to live, like New York. So whether or not I am burning bridges, it does not matter because I would not accept many of those roles anyway.