allchopin,
Using the correct musical terminology is neither politically correct nor grammatically correct - using the wrong terminology is not a grammatical mistake, by the way, and I don't think this Forum possesses the bandwidth necessary to address all the grammatical mistakes in your posts anyway.
The fact is, this forum is about piano playing, so using the correct teminology - pieces, works, compositions, etc. - when talking about piano music might instill credibility in what you post.
Just because people might "know what you are talking about" does not totally excuse using the wrong words. My dog barks when he wants to go for a walk, and I understand what he means. The standards for conversing about music, even informally on the Internet, while not exactly lofty, are a little higher.
Feel free to call piano music "songs," or anything else you want. It just depends on how seriously you want to be taken.