This discussion is kind of interesting. I don't have any kids, but I grew up in a house with a bunch of pictures of my dad off on some crazy glacier up in Canada. I used to love looking at those pictures, and as a kid it inspired me to think, "when I get big I'm doing that."
I started my climbing by hiking then scrambling. I think the first things I ever climbed were Mt. Ruth and Mt. Daniel at about age 10 or so.
Crag climbing was always presented to me as something to do to train for the real thing that being mountain climbing.
Anyway things are different now. It's nice to see you folks taking your kids out climbing at a crag or wherever.