The problem with using a burner phone is that you could be assigned a phone number that has been blacklisted due to its abuse by a previous owner. Then Google terminates your account as soon as you use the banned number.
To be fair, this is a risk even with a "legitimate" number. How do you know whether the previous owner did anything nefarious with it before it was recycled and assigned to you?
Of course, the real solution is to remove the leverage Google has on you so that a ban is no longer a problem.
Of course, the real solution is to remove the leverage Google has on you so that a ban is no longer a problem.