Hi All,
As far as I know theres no mention anywhere that the commander of the A/C has to sit in the left seat. So if both pilots have P1 ratings and the company designated Capt. ( and the company of course) is happy to log the leg which you are flying from the right, as P2 theres no reason you cant log your leg as P1.
Good luck finding a Capt. willing to do this though ( not even mentioning the company !!)
Fly safe
Bubblewrap