In FAA-land, one is usually logging training as PIC because even before you get the PPL you are flying on the Student Pilot Certificate, and e.g. IR training is done as an actually-VFR flight (under the hood). The 250nm IR X/C flight was done fully IFR but I can't recall how it was logged.
In the end it doesn't matter how it is logged... nobody actually cares. One day, an insurer may care about your total time, perhaps.