One concern that comes to mind: If a certain variation is more-susceptible to a particular disease or pest, and becomes a beachhead or reservoir--fun mixed metaphors there--for infection.
Spain already grows hundreds of cultivars of olive trees, though only three are used for the bulk of the olive oil. So replacing those with resistant ones would reduce diversity.
The main problem with polyculture being that it assumes local farmers are smart and cunning individuals who find (perhaps unorthodox) solutions in constrained, complex and realistic environments because their livelihoods depend on it (or because they got an interesting idea and couldn't let it go), and who know more about their challenges than random hn commenters like me, instead of being mindless drones that can be replaced/interchanged at will by central overlords with complete control over the panopticon food factory.
It seems rather to be yet another argument for polycropping and taking care of genetic variety and adapting to local conditions, instead of trying even harder to hammer nature into a grid.