Except that this is not true. The people you know use google, but there are many people that don't, and just type the full url or use bookmarks, and are not particularely knowledgeable about the web. If they belong to your target group, then you'll miss some visits to your website.
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.
Are you thinking that everyone only gets to sites from actual hyperlinks rather than via human speech?