A simulator using some sort of evolutionary parametric algorithm would adapt its driving style to the car. We use them to optimise our engineering designs, they are quite clever in the way they exclude suboptimal solutions. Using an evolutionary approach also makes it much easier to use multi factor optimisation. It'd quickly find if early or late apexing was optimum for the car, etc etc.
Collusion will never happen because it would involve teams losing the smoke and mirrors that they rely on to confuse the opposition. We'd no longer have to guess if Sauber and Merc are setting fastest times on fumes, while RB sand bag throughout FP. It'd also dispel any complaints about a car being slow because of a under powered engine. It'd make F1 would would be rather dull wouldn't it?
Hypothetically I think it a great idea, as long as we only released the results after the season was over.... and assuming that all team simulators were equal.