The thing about scaring is alarming. If a pinchy type epilator causes scaring from in grown hairs, I would think waxing would have the same problem.
I tried my pinchy type epilator on my face only once, it broke my skin and I was very careful.
I start at the edge of where there is hair and gradually move in with the flat part, if yours has a flat part, pressed against the skin, so it is a wider area that is tweezing. It is similar to what dentists do recently, they cause sensation around where the needle is going to pierce, so it disguises the pain.
Waxing the face with hard wax, supposedly works for men with tough beards. I imagine you would go a little bit at a time and be sure to pull skin taut.
But, I am planning electrolysis and using a home laser thingy, so I have wax and pinchy epilator thing for no use right now.