The traps ability to get rid if waste is not just down to pipe size. It also depends on the trap entry not becoming air locked. I found this when I installed my own shower. I put a standard floor waste in with a 50mm pipe outlet yo a shallow p trap. It kept bunging up because the shower out water ok top faster than the it could get into the trap entry thus air locking and overflowing. I ended up changing the trap to one called a fast glow trap which as the water enters the trap it creates like a vortex stopping any air lock. Now works a treat.my shower is rated at 40litres a minute when on the pump...