I lengthened the bit sequence in your simulation (to reduce Q-factor inflation every time the simulation is run) and then made changes to the attenuation for PIN so that Q-factors for both become almost the same. As you can see, the attenuation for APD is more than the attenuation for PIN, which implies that APD in here has better sensitivity (by giving the same Q-factor while receiving less power). I have attached the osd file with the changes.
Cheers!