If you accidentally delete the Google 2FA app, or your phone is stolen / lost, you have to regenerate all the tokens, which can be quite a pain. This happened to me once, and I was lucky I had several 'recovery codes' which I then used to reset the tokens. Personally I would stay clear from a Google-issued 2FA app as they have more reason to track you and the services you use.

Go for something like FreeOTP: https://freeotp.github.io/

Also 2FA can sometimes be overkill, especially if you're constantly logging into accounts which you know will get old and dusty over time (think Yahoo Mail for example)