Buy regular Lemon Pledge in the yellow can and spray the offending disc, wipe it off with a lens cleaning cloth or super soft towel and see if that helps. Pledge fills in fine scratches and usually works like a charm for a few viewings. I use it on my eyeglasses, too for the same reason: fine scratches disappear.
Rental discs are notoriously scratched up whereas your personal discs are likely pristine and that's why they don't hiccup like the rentals.
Rental discs are notoriously scratched up whereas your personal discs are likely pristine and that's why they don't hiccup like the rentals.