I have pretty much everything blocked from FB. when I first joined, you could send peole things, drinks, flowers, etc. Don't know if you still can or not. I'd get those all the time, along with game requests. I don't trust any of their apps, games etc. so I have them all blocked. And ignore any game requests that seem to have been slipping through lately. No one has ever commented or asked why they either can't get through the request, or why I haven't responded.
FB is yours to do with what YOU want. You don't want to play games, block all apps, problem solved. But its certainly not rude.