Logging PIC time in 91/135 vs 121
Questions with regards to logging PIC time in the 91/135 world vs 121. I've heard that the airlines wants to see PIC time as "Captain Time" only, not necessarily counting "sole manipulator of the controls" time and I'm wanting to ensure my logbook is absolutely correct. Here are a few examples:
1) Private pilot flying in a C172 with an instructor. Can the student (who is a Private Pilot) log PIC and Instruction Received?
2) Two appropriately rated pilots fly a Part 91 leg in a non-type required King Air 90. Can the FO (who is PF) log PIC time?
3) Two PIC typed pilots fly a Part 91 leg in a type required jet. Can the FO (who is PF) log PIC time?
Until now I have kept a separate column for "Captain of Record." Just wondering where the airlines stand on logging PIC time without being labeled Captain of the trip.