It's a general soreness. Not pumped, more of a nearly but not quite pulled/strained soreness/ache.
Have you experimented with the stretch illustrated on the second page of this article?
Yes, I learned that stretch in a bouldering technique course that I did in May, and it does help to relieve the soreness. But I'm wondering if I might need to find a way to specifically strengthen the muscle. Not sure how, though, because apart from bouldering nothing else I've ever done seems to bother it. Weighted pullups, campusing etc. - no pain.