Would the fact that "app" has been used as a shortened form of "application" in "web app"/"web application" have any bearing on it's ability be trademarked? Is

Would the fact that "app" has been used as a shortened form of "application" in "web app"/"web application" have any bearing on it's ability be trademarked? Is it specifically for the combination "app store"? It would seem to me that its primary meaning is what they're trying to trademark, because it's bluntly self-descriptive.