the argument of "everyone will Google" might as well suggest there's no reason for .com even. You could just assume the address is completely irrelevant. As long as Google knows that "Flameswipe" should go to flame-swi.pe it's fine.

As others emphasized, besides people not always using Google, it's a tragic short-term idea to defer your traffic to a search engine and all their power. You really should want people to go directly to you and not to any middle-man.