Yes, we know they’re not nose pliers. We got off topic of your picture and were discussing another posted picture that involved cattle.Not nose "pliers" as I saw lots of them when I lived on a farm in Ohio. The loops had smaller holes for the rope to pass through. Plus the ends were rounded and not flattened as in the first photo. I would guess they are some kind of press for squeezing something like lead slugs on wire.
As for your picture, I’m not ready to buy the idea of using it for hairstyling. I think it was a crimping tool for metal work. Like installing a little rivet before the rivet tools we have now. Smash with the plier to expand and hold.