Surprised that so many voted yes, I was under the assumption a majority of the players here were minmaxers. I mean sure, one doesn't necessary exclude the other, but still.
Personally no, I don't really have a concept for my characters. Sometimes I let them have one, but it can change between expansions, and they're all subject to faction/race/namechanges whenever I want, so the concepts are more like fleeting headcanons and I don't think they count in this context.