Logging Heavy "Augmented" Crew Time
Are you the designated pilot in command, designated on the flight release by the certificate holder? Log it.
Most airlines (and employers) ask if you're the guy that "signed for the jet." If you signed the flight release and logbook as pilot in command, then you're that guy. Log it.
At the end of the day, when the FAA seeks a violation against your crew, it doesn't matter who was at the controls: you're still the pilot in command. If you have to file as ASAP report, you file it whether you were in the lav or bunk or in the left seat.
When your block time adds up toward flight time limitations, the FAA doesn't break it down by time in the bunk, lav, or hovering around the galley stealing grapes. It's block time. All of it.
14 CFR 61.51 states that the pilot in command logs the time as PIC. Clear enough.
If you're the designated pilot in command by the certificate holder, you're the "acting" pilot in command. "Acting" means the one acting as pilot in command. Under a 121 operation, that is decided by the operator and spelled out on the flight release. If two guys are flying a 172 and trading time off under the hood as sole manipulator, with the other acting as PIC...the PIC may change throughout the flight or on alternating legs, or whatever they two decide...they decide who will be acting as PIC, or in other words, who will be the acting PIC, or in other words, who will be the PIC. Under 121, that's spelled out for you. Log accordingly.
If you're the PIC of record and your crew violates a regulation or creates an incident while you're out of the cockpit, you're still on the hook, if you're listed as PIC for that flight. You own the boat. Log accordingly.