He did much better with the youth team players than he did with the signings so can see your logic that classic DoF might have been better at scouting for players to fit his style than Woodward would have been.
But LVG had quite set ideas on style of play, or at least by the time he got to United he did, and no DoF would have changed them. I watched quite a lot of United games under his tenure and honestly there weren’t a big improvement in excitement on Sam’s recent exploits despite having considerably better material to work with, I’d be very depressed if he was lined up for next season.