NoNothing -
I wrote this earlier in this thread. I think the point is - there's no competition (really) going on with different entities using app store. If Home Depot called themselves hardware store - people could get confused and walk into the wrong store and spend money there for items that Home Depot sells. Home Depot would lose revenue for something they have branded.
However - in the App world - iOS devices can't run anything but apps sold by Apple through their store and Android (for example) can't run anything sold by Apple in their store.
So there's no business being lost. There's no real competition. And there's no loss of revenue by anyone building the brand "app store" because, pardon the pun - the items sold are apples and oranges.
This hold for App Store. This is not true for books, music and videos, naturally as those do compete...
I would fundamentally disagree with you on their being no competition and it is a major flaw with your argument. If that was so, why did Amazon not use
"Amazon's Marketplace for Android"? One reason is "Marketplace" has picked up a very denotative quality for poor software and male-ware in the world of mobile applications. It is non-curated. "App Store" is just the opposite. Argue all you want on the "evils" of being curated but the fact remains, the "App Store" has a much higher connotative value than the "Android Marketplace".
By calling it Amazon's Appstore, Amazon is trying to associate the Android eco-system with the eco-system Apple has built. Instead of building their own name awareness, they are trying to coat-tail Apple's hard word. Likewise, if Amazon does a bad job handeling their Appstore, Apple poses to be recipients to any generated bad press (something Apple does well enough on its own).
So again. Show me where the Android Market Place is referred to as the App Store. Show me where Nokias Ovi Store is referred to as the App Store. Show me where RIM's App World is referred to as the App Store.
Try
http://www.AppStore.com
Google "App Store"
Google "AppStore"
Now Google:
Hardware
Grocery (this defuses entirely your weak "hardware store" argument.
PetsMart. (Try and open a pet store and call it Pet Smart)
The term "App" was not even common for defining applications outside the NeXT and Apple programming world until 2008. There is a reason that almost all top hits relate to Apple. Heck, even Wikipedia did not start including "App" as a subtype of "Application_Software" until October 2009.
So I see "App Store" as a very defendable trademark and see it as having much value for Apple.