If you care about your Google, GitHub, Dropbox, Amazon, PayPal accounts the you should sign up for 2FA. Ideally, you should have one-time recovery codes printed and U2F or TOTP when U2F isn't available.
I keep all of my TOTP tokens on my yubikey which also does the U2F magic. And of course I have a back up.
But if you don't care to setup 2FA, well, I can see how it's better for Google to lock you out as oppose to locking someone else in.