Heh..initially, it started as a conversation with a friend, then I asked someone else, and the answer was kind of like "well, hello, yes, you are. You never let anyone help you." Which is, quite frankly, hooey, since this very same person just last month helped my with some drywall work I had to do.
And THEN, the same week, someone else told me the same thing (that I'm freakishly independent) so I was just pondering it this morning, I guess. I'm still not able to quite wrap myself around "too independent" but there you go. I am who I am. I see independence, or lack of dependence, as a good thing, so too much seems like a silly idea.
Carebear makes a good point, and I could see that being an issue but not really in this case.
And even then, wouldn't being "independent" be better? If I dated someone, they wouldn't have to wonder if I was doing to hoping for someone to take care of me.