Isn't there some counter-party risk that the bank (or whoever) might go under? With regular insurance, that's not really an issue--I'll just find another provid

Isn't there some counter-party risk that the bank (or whoever) might go under? With regular insurance, that's not really an issue--I'll just find another provider--but for an annuity, your money would be gone. This risk also pretty hard to evaluate, as everyone seemed to discover around 2009.