mahler, the short answer to your long question about balanced mode and hum is "yes".
RB, I have never owned a Rega anything, but I do believe that the diligent end user could wire a cartridge in balanced mode even using a Rega TT and tonearm, once you know where the connection is between the tonearm or table ground and cartridge ground. Then sever it. You could ground the tonearm or TT separately, if necessary, once that is done. I did not mention it because I did not want to confuse the OP, but there ARE cartridges that cannot be wired in balanced mode, because they use a single common ground for both channels. That goes for at least older Decca and Grado cartridges, maybe others.
Using "balanced cables" in the absence of balanced electronics does nothing except exhibit any differences between the cables themselves and whatever else you have been using in terms of SQ. But there are none of the noise benefits associated with balanced operation. Like I said before, you can have perfectly OK performance from a single-ended system with no annoying noise issues, too. And single-ended electronics tend to cost less than true balanced electronics, because of lower parts count, or at least they can be manufactured for lower cost.

