With no anti skating, all was well except one album that skipped on the first track.
A/S is intended to balance stylus pressures against the opposing groovewalls during play, not to prevent the stylus from racing down the angled slope of most lead-in grooves.
The key to preventing skipping during cueing is to keep the tonearm under control (manually) until the stylus locks into a groove. It would be a major error to use A/S for that purpose, you'd end up with far too much for playing the music.
It's debatable that A/S is needed at all. Many people including me don't use it at all. The test is not how does the arm cue, the test is how does it play. If you can track the toughest passages on tight inner grooves without R channel breakup or fuzziness, you don't actually need A/S at all. You may want some depending on your sonic preferences, but that's a matter for individual experimentation and listening.