You're almost guaranteed to NOT get a Grab Bag that's MHS compatible. I've only seen (and gotten) lower end hilts from Grab Bags. Over the past 7 years, I've gotten multiple Grab Bags and won some in raffles too, and these are the hilts I've gotten: Initiate LE V4, Aeon LE V4, Aeon V3, Dark Sentinel V4, Dominix LE V4, Dark Sentinel LE V4, Apprentice LE V4 (two of those), Dark Initiate LE V4 and Initiate V3. Those are all great sabers, but not one of them has a changeable emitter, just changeable pommels.
Yeah, statistically speaking, that makes sense. Most sabers are not MHS; so there is a lower chance of pulling one at random. That is why I would like the option to pay more to guarantee a random MHS (or at least MHS parts). I would be happy with a random hilt, a random emitter, and a random pommel that I can mix and match, etc.