Don't get too technical here guys. Passing the skill test is the final requirement for getting a type rating, the rest is just bureaucracy delay until you get the licence. The licence will also feature the date of your skill test and not the date of when it was issued. Therefore I see nothing wrong with logging PIC directly after the the line in which the examiner signed "skill test passed".
In EASA land, Copi can only be logged on multi crew-certified helis. The original post didn't state which TR was done, so this may or may not be possible. Also, your insurance might have another definition of what's considered being PIC or Copi than EASA has. For instance, an insurance may just require another typerated pilot with more experience to act as safety pilot. In this case, you can still log PIC in your logbook because you are the one doing the actual flying.