what would you consider as a high output cartridge? Anything over 3mV2.5mV? Only because this is about the minimum that a phono section designed for MM cartridges will handle properly.
But the answer isn't simple. The lower the output of the cartridge, the lower its inductance. This will push the resonant peak created by the inductance and capacitance to a higher frequency *and* amplitude. I've noticed that the lower output cartridges won't ring at audio frequencies but the high output cartridges do (which is why they need to be loaded to sound right). Obviously there is an area where the cartridge would have a bit of of both characteristics. Take a look at this link, it is helpful at explaining what is going on:
http://www.hagtech.com/loading.html