You need to be more specific.
Because dominant hand is different for different people.
For some their LH will be more dominant. For others their RH.
Your dominant hand is the one you instinctively use more often for fine motor skills like writing, brushing your teeth, or using a utensil (maybe for some 87% that is the right hand). That's what I was referring to, and I assume we are talking about the 2 handed backhand, not the 2 handed forehand. I don't really care which hand "leads" the shot you hit with two hands, as I don't feel thinking about that really improves the shot.
I think the original poster might be thinking of the grips in reverse. I've personally tried all possible grips, and one choice were to not change the grip forehand and backhand, but rather just turn the racket over, using western grip on the forehand would become an eastern backhand grip. Possible, but difficult to get accustomed to, especially for serve return. Anyway, rather think of backhand side and forehand side grips separately, and bevel 1 being always on top.
Two-handed backhand grips: 1) dominant hand is in the eastern backhand grip, 2) dominant hand in the continental grip, 3) dominant hand in the Australian forehand grip, and 4) dominant hand in the eastern forehand grip. In all, the off hand is normally in an eastern forehand, extreme eastern or semi-western grip.