This sounds like another issue I.e. please take your watch off while fucking. Snagging your watch strap in her hair is not the same as pulling with your hand.
Absolutely this 👆 if you are catching individual hairs its painful as fuck
I enjoy a bit of hair pulling 'in the moment' especially if it's accompanied by a bit of dominant or dirty talk from the guy, I don't object to a hand round the throat either as long as they are not too rough with it and listen to the signals I'm giving back.
If you want to pull hair ask the sp to put long hair into a ponytail or pigtails as part of her prebooking prep, because grabbing those and holding them is easier and you are less likely to catch a few stray individual hairs.
Often if you just reach forward with slightly damp hands and just grab a bunch the likelihood is you will not grab cleanly and there will be individual hairs that catch and pull at a different rate than the main bunch and that's what hurts, you also need to give the girl a chance to brace against the pull or you could do damage by pulling back too fast if she's unprepared.