I'm not a cabbage fan in the least but my wife is, and believe me, I pay for it anytime she eats it!
She has grilled cabbage over the years in a very particular way and she loves it, as do others, but I can't say if it's good or bad. Well, at least for cabbage lovers, that is. I know I don't like it.
She takes a head of cabbage and quarters it, though not all the way through the bottom, just enough to open it up. Then she dumps a pint of sour cream into the center and covers the sour cream with sesame seeds. Wraps the whole thing up in heavy duty aluminum foil and throws it on the grill taking up valuable real estate as I grill whatever I happen to be grilling.
She's leaves it on there until she figures it's done and then opens it and serves it. I've never heard anyone say anything bad about, other than me.