if executed in the balanced domain you get a maximum of 6dB less noiseActually, that's not true. With balanced amplification you get 6dB more signal gain, but you also get 6dB more differential noise gain. Overall SNR is the same.
The benefit of balanced amplification is rejection of common mode noise such as power supply crud, and crap injected on both + and - inputs together (sometimes hum). You get a better amplifier with higher overall performance, but noise floor from a differential source such as the resistance of a cartridge is the same.