Hi Herman, the point is that to operate balanced differential you *don't* need a common reference point. I don't know how that idea got started but it is mythological insofar as differential amplifiers are concerned.
As I have mentioned before, to accomplish balanced differential operation you only need two connections: the non-inverted signal and the inverted signal. Traveling together, the two signals can be remarkably resistant to noise *even without a ground*.
In fact in some extra noisy industrial environments the ground can actually make things noisier; sometimes it is omitted and the signal travels in a simple twisted pair. I have a friend who works in motion control and sees this a lot. As long as the bias requirements of the input stage are satisfied there are no worries. That's why I was mentioning the ability to use dual floating bias references in the exchange above.
I've seen instrumentation inputs that use ground references (non-differential) but they lack noise performance compared to those that ignore ground (differential). Differential amplifiers have a secondary advantage as they are simpler than otherwise 'balanced' circuits.
Any inductive pickup (phono cartridge, tape head, guitar pickup, dynamic microphone) can be operated balanced due to the non-polar quality of the device itself. In guitar pickups this can be a powerful advantage as hum is a big problem with electric guitars.
In a phono system the ground is only a shield and does not provide a reference- neither is it connected to the cartridge. In my previous post, we altered the biasing strategy of the input stage to prevent the input resistors from being an artificial center tap for the cartridge while satisfying the bias conditions that the input section needs. So there is no ground connection to the phono section nor one to the cartridge, yet the setup works fine, because differential amplifiers and balanced sources do not *need* ground references to work: differential amplifiers only amplify what is *different* at their inputs, in this case, the phono signal.