I had the same experience. When watching movies with my SO tonight, I explained that Netflix uses AWS and that AWS was experiencing problems. We started watching a movie on Amazon prime and she asked "So I guess Amazon Video isn't using AWS?"
I tried to watch a movie rented from Amazon over Roku last night (not Prime) and it was unwatchable. It would get stuck on some scene for seconds to minutes, occasionally letting loose a bit of audio.
The movie was Inception. Maybe there's some irony in there.