Further, with LOMCs you need to get into impedance matching. Unlike MMs and HOMCs, which are all designed to play into 47kOhms, every LOMC cartridge performs best with a different impedance at the phono inputs. The optimal impedance for any given LOMC is further impacted by all the downstream components in the system. This requires adjustability and/or custom matching of phono stage to LOMC.
This statement is incorrect! (and is a common myth): nearly all LOMC cartridges load perfectly into 47K which is the standard input impedance of nearly all phono preamps. The 'loading' issue only exists if the **phono section** has troubles with Radio Frequency Interference!
The reason for this is that the inductance of a LOMC cartridge is quite low- so it will not ring (distort) at audio frequencies. However, its inductance combined with the capacitance of the tone arm interconnect cable forms a tuned radio frequency circuit- that is energized by the cartridge itself.
If you find that the loading value of the cartridge is critical, it means that the phono preamp is having trouble with the RFI thus generated. The loading value, if set correctly, detunes the RF circuit.
RFI does strange things when it gets into audio circuits. Its best if the audio circuitry is immune to RFI. To this end, FWIW, transistor phono sections are more susceptible to RFI because the diode junctions within the semiconductors can easily rectify RFI. Special consideration has to be done on the part of the designer to avoid this problem, but you would be amazed at how many people simply don't know that RFI is at the root of the loading issue!