It's not just rhodium, the base material makes a huge difference. Rhodium over brass or bronze will indeed produce some interesting effects, IME it varies but most of the time doesn't sound good. IMO you're better off with gold plating over brass or bronze parts. With all platings the quality of the plating it's self varies quite a bit, not all rhodium platings are equal and same with gold or anything else.
IMO these generalizations are unhelpful and actually misleading, like making generalized statements about avoiding tube amps, or that ported bass cabs suck, or cone 'n' dome speaker can't be dynamic, or whatever... it's just never the truth. There is an issue here, that of people attributing changes in sound to something based on correlation, but of course correlation /= causation and this mistake is made extremely often in audio. I can assure you that with properly made and implemented connectors that rhodium it's self is not an issue. Gold plating on the other hand produces a similar character of fuzzy warmth no matter what material it is applied to.
So, when you switch from a high quality, pure copper rhodium plated connector to any gold plated connector you are trading clarity for warmth. In many systems reducing warmth and enhancing clarity will reveal more of the negative qualities inherent in the system or the recordings you listen to. This is part of the reason you hear so many different negative descriptions of the sound of "rhodium". In most cases the issue is not rhodium, it's either the base material or it's simply revealing deficiencies in the sound that were previously masked.
Look, there's tons of folks here who use and prefer rhodium and I'm 99.9% sure that if you went an listened to their system you may not find a trace of the "rhodium" sound you would expect to hear.
Finally, if you prefer warmth and simply want a warmer sounding system there's absolutely nothing wrong with that. It's also a lot less expensive, warm cables are not expensive and neither are a lot of amps that add even order distortion, and you don't need the most accurate drivers and expensive inert speaker cabinets either. It's not exactly "High Fidelity" but I totally understand and support any kind of personal preference one may have. The more clarity and fidelity you want the more difficult, time consuming and expensive it will be to get things right, and we all have to draw the line somewhere. So, in the pursuit of achieving your personal goals I totally support getting rid of rhodium for gold, however it may not be better for all, just better for you.