You're absolutely right. However the club does care what the fans PAY though. It doesn't matter how anyone tries to twist it with emotional nonsense, the bottom line is if you enter villa park and/or pay for anything, you're supporting what the club offers and how its run as a whole. They can afford to ignore you when you pay, they can't afford to ignore you when you don't pay. Simples.
The idea of boycotting a chosen game makes more sense than throwing a tantrum protest. However, if the club believe you're just going to do it once, they'll be likely to just ignore it. The old saying is vote with your feet.
Bang on.