Thorongil, we are speaking hypothetically.
I personally am in two minds about this. On the one hand, Sauron's desire was for power and ruler ship, which was how Morgoth corrupted him. But on the other, If Sauron realised that he could not do the deed on his own he would have released Morgoth.
But as you said, Thorongil, How he would do this we cannot say, perhaps send a Nazgul to kill Earendill or something... But that’s not the point.