Make up your mind!
That they do interact, we discussed in full on this thread. The mechanism of interaction is, of course mysterious like all miracles wrought by Christ. It is not a contradiction to know one thing but not the other.
Luther’s initial objections were plausible enough to discuss, but from the vantage point of history we see that the Protestant heresy was the work of Satan to scatter the faithful, and for about 500 years the Protestantism was fracturing itself. At this point there is barely a trace of authentic Christianity in all these sects.