That might be your logic but I don't think it's LVMH's. Mind you they hired Galliano, McQueen, and Tisci without experience in such a globalized company making its profits mainly off leather goods / bags / shoes etc.
Dior keeps a team of merchandisers, product developers, etc to help the creative director with those bits. I believe what LVMH will want is exactly what they wanted before... a virtuoso, a proper designer who could carve their own legend -- which as we now know poses no actual danger to outshining the legend of Dior. There is a good possibility that the next designer will be an unknown, like others have mentioned, the LVMH network is vast and who knows how many designers they have put away on reserve within any one of their houses.
Mikeijames makes a good point about Ana Wintour's influence except that her power has waned in recent years. Don't get me wrong, she's still THE woman, but magazines don't have the same sway they used to. Women have many other alternatives to get their opinions from now. Mind you Nina Ricci defied her when they fired Olivier Theyskens. I'm sure they will ask her for her advice, I don't know if they will take it.
One thing I am sure of, they already know exactly who they want to replace Galliano with. They've known before this whole episode even began.