I don't have the statistics to back up any statement about the odds that one provider or another is safer, but AWS has had a person I could talk to and they really resolved my issues and seemed empowered to do so. That's a big and real difference.
Very strange.
You'd have to do something like construe the provision of service as an implied contract to continuity in the same way that T&Cs assert that usage of a system implies acceptance of some rules.