Gray Tribe

Moving from downtown SF to a suburb of SF does not count as "leaving San Francisco".

You're still using the same airport. You're still able to have in-person meetings with the same people. Travel time from SF downtown to your new place is significantly less than between two opposite ends of Beijing or Seoul.

Does anyone claim that?

Most people say Bay Area

Two examples that come to mind:

https://www.sfchronicle.com/business/article/2nd-most-valuable-U-S-startup-to-leave-SF-as-14558067.php

https://twitter.com/amasad/status/1785125298398446016