When I first got a Bib hanger, I was tightening and didn’t have the wing-nuts opened enough. Which led to a spot, not only like yours, but I also broke the skin and drew a bit of blood.
I also had some really bad discoloration from when I briefly experimented with pumping.
All has since returned to normal. So, things should be fine in your case. Though with the pinch from hanging, the pinched spot was sore for maybe a day or so because of the severity of the pinch. But that isn’t unexpected. that would have been the same if I had pinched myself that hard anywhere else (though penile skin is very thin, so maybe not quite as much).