Another reason people are reluctant to use annuities is they don't trust the companies selling them to remain in business for 10 years or more....
You do expect to collect your annuity payments.
Sure, along with all their other creditors. If you don't trust them to remain solvent, you don't trust that claim to be worth much.
EDIT: But I don't think that this is actually the problem, just that the claim on assets wouldn't really negate it if it was.