Actually, I hate the term "real climbers".... There a lot of real climbers out there and most you'll never know there name. A young kid who I climbed with a couple times a few years back (and I've stolen his workouts) just redpointed Freerider on El Cap in 12 hours. Not a bad time for a young kid who had to repeat a pitch because he fell. I doubt you'll ever see Nick's picture in the rags (except he also made a Patagonia catalog picture from another photographer who used to live in town), maybe, but probably not.
Another young kid who used to live here in town you'll never hear about who does speed ascents (and descents since he also BASE jumps) did Learning to Fly at the Creek (5.13c/d) on his second attempt, but if you saw him in a parking lot, you would definately never know that. He did make a Patagonia catalog though (but it helps when you are friends with John Burcham).
Now in my book a real climber is someone who gets out there, and is probing their boundries, stepping outside of their comfort zone and changing what they think is possible. It doesn't matter the grade since the essence of climbing (in my book) is exploring the possible, and poking your head around the next corner.