I would think using a external phono preamp for each turntable that converts their output to line level, then on to a line level input on the switch box then on to the receiver or preamp would address the concerns and SQ effects about the undesired additional capacitance from added cables and the switch box at phono signal levels output.
Granted this method would involve the expense of the purchase of a quality active phono preamp and additional RCA cables for each TT that is desired to be able to be switch selected, but converting the TT`s output to line level close to the TT would reduce the need for a HQ phono quality L/R nX1 switch box.
I don`t use TTs and play LPs anymore, but this would be the method I would choose, if I desired to easily switch multiple turntables.