I haven’t had skid-marks since I was a kid either, and I haven’t even thought about why that might be, until reading this thread. As many have said, I simply wipe until completely clean - which means NO marks on the last piece of TP.
But there are certain rare times when it’s ‘apparent’ that no matter how many wipes, it’s not getting the job done. (Is a TMI really even required in this thread?!?) So what I do then is bear down a tad WHILE performing the final wipes, so as to slightly ‘unwink’ the old brown-eye and get a bit more of a deep-clean.
You perpetually skid-marked people really oughta give that method a try.