If you have very important data for you, and you don't pay very high bills to AWS, you should really have at least a cold backup somewhere else (even on your own hardware). If you have a big cloud account, paying big money every month, at least with AWS you are in a pretty safe spot, even if people will say a different thing here.

And if you have a similar horror story with a tens/hundred of thousands of dollars (or more) monthly AWS invoice, please speak, I'm very curious to learn what happened.