You don’t get any more gain. That only happens with active outputs that don’t support the balanced standard, AES48. When you run a cartridge balanced, it supports the standard. So no increase in gain.
That is not quite accurate. It would be true if all balanced components supported the AES48 standard but - as you well know - many do not. As an example, Audio Research has many differentially balanced amps and preamps and they do not support AES48. Yet these designs still offer advantages over single-ended designs, as explained by Wikipedia:
"The primary advantage of the balanced line format is good rejection of common-mode noise and interference when fed to a differential device such as a transformer or differential amplifier.
It’s a simple fact that designs such as the excellent ARC products will yield 6 db greater gain when run in balanced mode. Or, if your prefer to look at it another way, they yield a 6 dB improvement in S/N. That can make a big difference, especially in something such as a phono preamp.
Ralph, I know that you understand all of this. But notwithstanding your fine trademarked and patented products, there are many other excellent balanced audio components on the market. You muddy the waters when you mistakenly claim they aren’t balanced. Here’s the spec on my ARC preamp, straight from the manufacturer:
REF5 SE: Main output: 12dB Balanced output, 6dB SE output.