I don't agree with your interpretation of their statement "The CG and CD input configurations relax the effect of large input parasitic capacitance from the bandwidth determination better than the conventional common-source (CS) input." as meaning "Basically it is saying that if input is connected to photodiode generating current, since photodiode usually has large capacitance, it will limit the bandwidth." To me it says that the CG/CD configurations reduce the effect of the transistor input capacitance.
Also, in a transimpedance amplifier with feedback low open loop input impedance is not required - the low input impedance comes in the closed loop due to the feedback. So, a CD stage works fine provided there is gain in the loop. Around half my discrete transimpedance amplifiers have had common drain input stages, although there are other reasons for doing that, not just input capacitance.
Keith