It actually is an issue. Most women don't like having their cervix punched repeatedly. Girth can also cause pain. It really sucks when you can see it in their eyes that they start hurting but they tell you to keep going (my SO gets mad if I stop because she decides when she taps out).
Ours was like this at first. Now she's a Velcro Kitty.
She also loves getting pets (and attacking us) while hidden, and will paw at the sheets until we cover her up (then starts purring as loud as possible once we do)
It's been used both as a hacking method, and as the ingress for a bad actor.