@jasonbourne52, it's not quite that simple for MM as increasing capacitance will also move the resonant frequency down, depending on the electrical characteristics of the generator, of course. This is why on a cartridge like the AT150MLX, if you want flat response, the cartridge cannot see more than 150pF. Also why that cartridge has such a maligned reputation for exaggerated HF response.
@mulveling, looking at transformer equivalent circuits I don't see reflected capacitance. Reflect impedance, reflected leakage inductance, but not capacitance. Do you have cite for this?
@billwojo, capacitance on the secondary with load R will form a zobel, which can tune the response of the transformer. For best performance every SUT should be tuned this way, but as it is cartridge, transformer, and upstream phono stage dependent, it's not practical for the average person. Just know that changing C on the secondary can have an audible effect, but it's to do with the transformer response itself.
At the bottom of this page is a tech note from Morgan Jones: https://www.sowter.co.uk/specs/8055.htm