I have Gapps in a separate profile, which I almost never use. So 99% of the time, it's not running.

And yeah, the government could find me if they had a warrant. I'm not running from the police, I'm trying to give them no reason to need to look for me. I'm more concerned about big tech tracking me and giving the government a reason to watch me, so that's what I'm looking to avoid.

If I wanted to hide from governments, I would take a very different strategy.