Tanks for the input. I really appreciate itThat's my train of thought as well.
I would....
(1) Verify the oil pressure gauge operation using a test gauge.
(2) If gauge test backs up the existing gauge readings see if the skipping and low oil pressure coincide. But an issue with the oil pressure due to bypass valve or other issues may cause the STC distress, or vice versa...I don't envy you on this one......
(3) Order or borrow a printed manual specific to the CPL of your engine. It's not on Quickserve as you discovered...but you can order it from Cummins...