The important thing here is the difference between "Pilot In Command" and "Pilot Flying".
Unless you are undergoing a command assessment or training for the LHS with a certified line trainer then all first officer time whether PF or PNF should go down co-pilot time.
It seems not so.
I also emailed 12 FO friends of mine from 5 different UK airlines and they all reported that PF goes into the PIC column with the Captains signature and PICUS in the remarks column and all their PNF time has gone into the Co-Pilot column.
Have those UK Airlines and all the Captains who have signed got it wrong?