What's the threat model there? It's not like Amazon are going to start stealing customer credit card numbers - if anything they're one of the few companies I'd trust to get security right. Tick the checkbox in settings, install the APK, untick the checkbox again. It's really not a lot of effort or risk.

(The most sensible-sounding negative claim I've heard is that Amazon do that so that they can do more invasive location tracking than Google permits (though the same kind that Google does themselves))