To be honest, I actually think it's probably more privacy-conscious to eliminate as much information as possible (but no more) from these kinds of emails. While I suppose Amazon is concerned with competitive behaviors from Google, I'm more concerned that Google or any other actor with access to my email could look through my purchasing list, or my library reading list, or...
Email is an insecure and non-private medium, but we often use it for items that require some level of security or privacy. I'd prefer if more companies held that information closely.