This is a really good question. 2FA is touted as improving security, but whether it in fact does depends on the individual user's weighting factors on the conf

This is a really good question. 2FA is touted as improving security, but whether it in fact does depends on the individual user's weighting factors on the confidentiality-integrity- availability triad. Your situation sounds like one wherein the raise on the risk to availability easily outweighs the drop on the other two. 2FA aside, the other consideration is additional risk from having made your phone available to Google's opaque verification process. If e.g. Google would offer your thief password recovery via the the phone number, then involving your phone with your Google account could be very unsafe.