You can call it whatever you want "burn-in" / "break-in". It all means the same thing. Trying to talk down to someone because of your opinion on the "correct dictionary term" is not someone who I can respect.
Additionally, rhodium can be the great revealer, in the sense that it is very revealing and will reveal the flaws you have in your electronics and cabling. These are flaws that gold-plating or un-plated copper will NOT reveal because they are ultimately more forgiving. If you are not liking the rhodium in your system, it is likely that a particular piece of equipment is causing that sonic signature.
Can a system sound good with gold or unplated copper? Sure, absolutely. But you are never going to get 100% full transparency, resolution and realism that you will with rhodium plated connectors. I have been through all RMAF rooms and different systems from $10,000 on up to $200,000 and even the million dollar room. Pretty much most of them use gold-plated connectors and silver-plated. I will say that many (if not most) room did not hit the mark on a good high resolution real sounding system (even systems that were 6 figures).
Choose whatever you want and whatever feels best to you.