Not oncall for Amazon but I don't particularly mind it. It sucks to have to be near a computer for the time, but I actually find digging in and finding that needle in a haystack pretty fun. On a good team, the life interruption is minimal.
When I was on-call for a big project, I jumped every time my phone rang. It wasn't a good experience at all.
"We are at the fair, I have 18 customers lined up but I can't take orders. Can you fix this now or should I start taking them on paper?"
You know the joke that atheists don't believe in god until the plane nosedives? That was the moment for me :)
"Oh, I... I need to see the error message before I can say anything. We don't have any errors logged. Hmm... Would you allow me to remote into your device?"
"Can't do that. We lost the internet connection here, sorry."