It should up to a point. A lot of high paying tech jobs are in regulated industries that sometimes have hard restrictions on who they're allowed to employ. For example, I know someone who works at Oracle Cloud and works on projects for the US DoD. For these projects Oracle is required to employ US citizens, perform background checks, and in some cases ensure those workers have clearance to work with classified information.

I suspect there are other high paying jobs/markets with similar restrictions. It'll be interesting to see how the dust settles over the next few years as geographical location within a country and without impacts the labor market.