Just call it an App Market and avoid the controversy/drama. There is also something unprofessional about their response altogether, "Steve Jobs isn't our dad!!"
Watch out Google might already own App Market. With all these shitty trademarks pretty soon you'll be limited to Place Where You Can Exchange Money For Computer Applications®
Completely agree with this. This has nothing to do with closed or open. Its a business and is trying to protect its trademark. We don't have to go into the ethics of it. Fact is everyone is calling their store App Store only after the iOS made it popular. They want to use the term "App Store" because they know that's what people will be looking/Googling for. They should just have gone with close sounding but different name.