Without seeing the preamp schematic I can’t say for sure but it is likely you’d get an improvement in ground noise rejection as long as ground is connected to only the cold wire (XLR pin 3) at the RCA end.
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I try to explain thing simply.
The Tuner has RCAs only, going TO a pre amp with both, RCA (single ended) and XLR (a few variance). There would be ZERO benefit for the Tuner and the pre amp supposedly has a lower floor noise because of onboard XLR tech, anyways.
Now going from the pre amps XLRs to another piece of gear with XLR plugs, should have a benefit. Though they are not ALL wired the same much less balanced just because they use an XLR plug.
BUT the source, this OP has, will see NO improvement other than enjoying a better type of termination. XLRs, if they were used, you loose the ability to move a ground loop eliminator on either end of the run..
I think that is a better reason to have RCA to RCA on both ends..
If you really want to help with noise (RFI EFI or getting high :-)) use a weave it is one of the best noise eliminator via no shielding.
RCA benefits big time from using JUST a weave..
Regards