To be absolutely sure, does that mean yes? Waiting long enough in the caves will lower influence to ~0? If so, would anyone happen to have an estimate of how long one would have to wait at, let's say alert is very high, 1500?
I do know about the other ways to lower it. I do also know that "diminishing returns" does actually go negative at high enough influence, though "high enough influence" in this case is i think somewhere above 3000.