I don't suppose monitors report calibration data back to display adapters do they?
https://smile.amazon.com/EVanlak-Passthrough-Generrtion-Elim...
I hope it's rare, but I think a persistent nag window ("Your display isn't calibrated and may not be accurate") is probably a better answer than refusing to work altogether, because it will be clear about the source of the problem and less likely to get nailed down.