If your club is stating that you must fly with an instructor then you are entering a whole different arena and you are not loggin hours as in App B of LASORS.
In our group you can request one of the other members to act as a safety pilot if you havent flown for a while. You are PIC. No FI required as you are not out of currency as regards your licence - its just common sense if you have not flown for a while. End of.
I only let PPL's log P1 time out of the goodness of my heart, not because the law says so and I have very specific criteria for allowing them to do so. Most don't reach it so very few are allowed to log P1 instead of me.