A hair tourniquet is formed when a strand of hair lost in a onesie or sock wraps itself around a toe, penis, or finger and the appendage swells, cutting off its own circulation.
It's terrifying to blearily try to diagnose the issue and they just don't stop. Eventually we undid the swaddling and took off the sock and found the purple toe, removed the hair, and then there was a change to the screaming as skin pinch went away and the feeling returned to it, but that was good news.
It’s really hard to generalize what an alarm cry could mean. In my experience they were never anything outwardly physical. Both of our kids had alarm cries that we associated with waking up from dreams, for example.
That was a cry I remember.