I've found that it's not terribly difficult to wait for the shows to come to Amazon Instant. For a bit I pirated premium channel content on release and bought it on Amazon Instant after the fact. I eventually realized that waiting really didn't impact my enjoyment.
I do still supplement my NBA League Pass with viewing of unauthorized streams for games that are not aired on League Pass.
Game of Thrones season 4 is still not on Amazon in the US. I think that would impact my enjoyment, since part of the enjoyment is being able to talk to people about it. By the time I'd be able to watch it on there, they wouldn't even remember what happened that season.
I do still supplement my NBA League Pass with viewing of unauthorized streams for games that are not aired on League Pass.