Is it possible to have cut this part when wiping?

So, I’ve noticed that sometimes with certain cheap toilet papers when I go number 2 and wipe, sometimes I get a little cut or raw spot in this specific area.

Does this happen to anyone else? I think I’m just now realizing it’s kind of consistent when I get cheaper toilet paper it starts happening. I also think I reach too far back when I’m wiping my behind, if you know what I mean, and I’m catching this part of the labia minora. (Circled in red)

Can anyone else relate?