CD Players With Balanced Variable Outputs?

My question about "balanced variable output" means,I think, both together. It seems many CD players have have either balanced XLR outputs plus RCA unbalanced outputs, or fixed and variable RCA outputs, but not balanced XLR outputs with a variable volume capability. Sorry for any confusion. I suppose some of the units mentioned above have this variable XLR output I'm asking about.

"I'm guessing that he needs balanced outputs that have a variable volume control."

Alas, that was the intent of my question. My limited understanding is that many players, perhaps not the very best, "lose something" when using the variable outputs rather than the fixed outputs. Does this change if the variable outputs are run through XLR balanced outputs.