M14P:
Ask yourself this: During differences training or a check out are you "receiving instruction for the grant or extension of a license or rating"
During differences training - yes, so I log Pu/t. During a checkride, not necessarily, so it's Pu/t or P1.
Beagle:
Whenever you fly under the supervision of a FI, he/she is the Commander.
Yep - if the FI is instructing, or the pair of them have agree that the FI is the commander. If the prospective renter is the comander, then the FI is educated PAX.
Steve R