I might not have the same variety as padsfan. My purported Corky's came from figfinatic and has yellow skin and amber pulp. Here's a pic of one of the two figs I've gotten from it:
Season 1 it dropped 100% of its figs, season 2 it dropped about 95%. None of my common varieties drop figs like that, so maybe it needs the wasp for its main crop, or maybe there's something about the environment I provide (it lives in-ground inside a greenhouse) that affects it just enough to cause the dropping problem. For example, I noticed that it tends to drop its figs right after being watered with our well water (even though none of my other varieties do that), so maybe it's super-sensitive to bumps in pH or something along those lines? I don't know.
My tree is extremely vigorous and sets many fruits, and the two figs I've been able to get from it have been very good, but I don't want to wait and hope that it'll stop dropping, so I got Peter's Honey to replace it.