Hummm.... sure... I remember the word "App" before 2008 being used here and there in the industry, but the term "AppStore" was unique to my knowledge when Apple came out with the AppStore. Sure, it's common now because everyone loved it and started using it, but does not mean Apple does not have a right to try and defend it.
I think since Mac OS X started they started having applications with the .APP extension, just thought I'd point that out, that's almost 12 years now?
It's not like they started calling them "EXE"s...
This is carried over from the NeXT OS and Apple used that for a bit (or more) for the start of OS X. (See section 4.1 if curious)
Gary