Exactly. It wasn't until I started using OS X, that I really starting calling my 'programs' 'applications.' Even in the old days of Mac operating systems, they were always programs. Apple is really who popularized Applications and Apps. I'm not saying they created those terms but they are largely responsible for their use.
That's the problem, if they didn't create the term or the usage of the term in this manner, then there is no grounds for a trademark.