I wouldn't, but I was never going to be a cave diver anyway-- not enough interest for me. I dive more for animals, corals, and wrecks. I've been diving in some cenotes in Mexico, and that was all the "cave" diving I cared for. Also, like ricom's answer below, I'm wary of being in an overhead environment with no easy access to the surface if something goes wrong.
I haven't tried full wreck diving (going inside the wreck) yet; I may not like that kind of overhead environment either.