Yum! I love cabbage cooked like this. The apple really does bring out some good flavor, especially with the hit of tart apple cider vinegar. I like to use some mustard in mine, as well, and often dill if I have some or whatever other herbs might be around in the garden. Hhhhmm, I have a head of green cabbage from the farmers market last week that I haven't gotten to yet, I might just have to cook it like this, too. ;)
Dill sounds nice, I really should grow some fresh stuff here. I have dill and mustard powder, I often add that to coleslaws and salad dressings.
I guess green cabbage would be similar. Maybe use green apples to avoid an upsetting color scheme.