Are they too choosy? I can't speak to trad women in particular, but I can speak to women (based on my experiences).
As always, it depends on the woman.
Women are not able to be grouped together, I think, because they follow emotion more so than men. They'll say or do one thing one day, and the next it will be completely different. Attraction is much like that as well - it's not so much what's "good" for them (or what most people would consider "good" for them) but rather what feels good/right for them.
However, my (admittedly limited) experience with trad women is that they run off to the chapel to get married. I do not think, however, the trad-fetish with "courtship" would solve the issue. If a guy is appealing enough and can provide everything the woman needs/wants, then she'll probably run off to marry him. Especially if she's a traditional Catholic.
As to chasing - it depends on what you mean. There is a certain game to be played with women in wooing and gaining them. Rarely does it occur that you just walk up to one, find one, and get hitched. And, really, that's part of all the fun, ain' it?
My experience with trad women is that very few of them remain single after age 30. At least, based on the chapels I've been to, they are almost always married off (or in a committed relationship).
I have a followup question, but I am 99% sure of its answer.....