Unless there is a legal reason for you to be in the RHS, you can’t log the time.
So unless the AOC holder has an piece of paper from the CAA of whatever country they are in saying that the single pilot aircraft is being operated multi crew, you can’t log the time. I highly doubt that dual could be logged either.
If there is one thing COVID has proved, it’s that’s integrated ATPL flight training is a waste of money.