Most modern cartridges have their peak so high up, there is no need for loading to tame the peak, as far as frequency response is concerned, but loading may help with some phono stages that are not equipped to handle the ultrasonic peak overloading the phono stage.Overloading the phono section due to the resonant peak activating can often be heard as a tick or a pop, which might sound like its on the surface of the LP. This is why designing the input circuit to have high overload margins is important.
If a MM high output cartridge is used, the resonant peak can be in the upper portion of the audio band if the tone arm cable has capacitance that is too high (which will lower the resonant frequency). This is why phono cables are made with low capacitance.
Its worthy of note that loading the cartridge will inevitably cause its generator to do more work to drive that load. This will cause the cantilever to be harder to flex (that energy has to come from somewhere). Potentially this could lead to tracking issues, since the added stiffness will interact with the mechanical resonance of the arm with the cartridge installed.