They are in the business of selling a million hearts, but not using one themselves, even their original ones.
Actually, I'm sure they don't care about small and upcoming affiliate sites that use their name (Amazon) in any other thing, good or bad, EXCEPT use it in the site disclaimer, and in the outbound link to their products. Once you begin sending them high converting traffic, they will turn a blind eye to any "small" violations. I guess, they want no other connection with your affiliate site.