I, personally, cosplay the characters for myself, and even though it's nice to be recognized it doesn't matter if I'm not.
Also, people who DO know the obscure and rarely-cosplayed characters love to see someone actually cosplaying them! At least I love seeing lesser-cosplayed/known characters from things I like. When I cosplayed Ika Musume, most people didn't seem to know who I was - but the few who did complimented me on my costume and were happy to see an Ika cosplayer.
Also if your costume looks fancy and cool, people might like it even though they don't know who you are. I've seen lots of great-looking costumes that I have no idea who they're supposed to be (or where I don't like the series much, but can still see it's a very nice costume)
Last edited by Chaletica : 02-08-2013 at 10:26 PM.