Independent music does not mean you can't play your instruments. It does not mean that all of your lyrics are so quirky that only 5 people on earth can understand what you're singing about. Indie is not dressing like a period piece movie with elaborate customs that look silly off the stageleft exit right.
Indie means independent of corporate direction. You are not being told how to sound to get hit. You are not being told what crazy stunts to do to get media attention.
I am a truly indie artist because I own my music and my record label. You can't get any more indie than that.