I have seen a lot of L2 chargers (J1772) that had broken clips and would not charge my vehicle. Also lots that were just turned off or broken.
My point is: I've never plugged in a working J1772 and had it fail to communicate or fail to charge if it's an otherwise working charger. I've definitely seen that with DC chargers and there are plenty of known issues between certain models of cars and certain brands of DC fast chargers.