You are correct, these animals are a bugger to handle with those stiletto sharp horns catching onto to anything in reach.
There is a true account of an animal culling shooter here in NZ who actually got a chamois horn snagged through his boot laces as the helicopter lifted a load of animals of the mountainside and he was carried up hanging underneath the chopper. The pilot only knew the shooters predicament when he saw the shadow on the hillside of the load of animals and the shooter suspended beneath. I bet he was praying his bootlaces and the chamois horn was strong.