I've found it's a common recruiter tactic to try and wring some sort of concession for you based on your address. In just tell them no. They aren't competing with the gas station down the street from my house they are competing with the Twitter office down the street from theirs.

It's possible my career has taken a hit due to being remote for the last few years but I get paid around $400k and I live in a nice little COL place.

It's remotely possible I could rate 2x that if I was in the valley, but it's by no means guaranteed. I could also make the same or less.