Yeah, I realized I understood the mentioned bandwidth wrongly. It is mentioned for a direct 50 Ohm load while we load our photodiode with a different resonant circuit.

I haven't made actual measurements for the shot noise intercept current similar to the link, but I made a ltspice simulation of the circuit and I believe the shot noise intercept current is about 0.15 mA. Yes we are good with that. This topic should close here. False Alarm.