There are, albeit theoretical, reasons why you would not wish to do it this way. The series coil resistance for a LOMC cartridge is in the c.3-20 ohms region. To get true mono the impedance at all audio frequencies has to be significantly lower than this. If the cap is sufficiently low impedance to allow for true mono down to LF then a very large cap will need to be used.
Even if you assume that frequencies below, say 100Hz don't need to be truly made mono, the cap is still huge.
In addition, the low impedance will allow a fairly large signal current to flow through the windings which will create a significant back EMF due to Lenz's law and roll of the HF response and alter the transient response of the cartridge.
Shorting the resistors that are after the input amp outputs together does not have these effects. Just a switch will do. The large-ish resistors protect the opamp outputs. The disadvantage- each output sees a 6dB loss in amplitude as you now have a voltage divider (the output is (A+B)/2) - but this is exactly the same as ideally shorting the outputs from the cartridge together ignoring some of the other issues.