Yes, but is that useful? The very slight possible crosstalk from common impedance coupling of the left and right channels should be well below the masking threshold, and orders of magnitude less than the acoustic crosstalk when listening to speakers.
In fact many headphone amplifiers have circuits to specifically introduce crosstalk and make headphone listening a little closer to speaker listening, so I would argue that slightly lower crosstalk is of no benefit.
First, I quoted the discussion where only the completely separate wiring of the two headphone drivers was mentioned, and not the introduction of a balanced amplifier.
Masking threshold does not have an absolute value for all people, but depends on the individual, so your argument is completely wrong. The introduction of a system for crossfeed listening with headphones is completely wrong also because this mechanism of mutual influence is different (it can also include delay). In fact, the overall quality of the crossfeed system will be better if the separation in the headphones itself is better. That's why most such systems I've seen have separate headphone driver wiring.
You will need to explain the theory behind that.
Do I really have to explain that? What will happen if I don't explain it?
I would kindly ask you to address me with a little more respect next time.
Electrical damping is essentially describing the resistance in the circuit, and there is no reason to think that adding an additional amplifier channel into the circuit is going to be lower impedance than just a direct connection to the power supply return.
Dynamic sound compression sounds like a fancy way of saying onset of clipping, which can be addressed by increasing the power supply voltage.
When I mentioned these improvements, then the first word was "in theory", which means that always, not only in this case, reducing the resistance between an amplifier and an electromagnetic transducer will lead to the listed improvements. How much the effect will be audible in practice depends on several factors.
It's really inexplicable to me that none of you critics ask if there are any real, scientifically explainable reasons for using independent wires in headphones. When you look at the evolution of different headphones, for example the first AKG 240 had a 600 ohm system, now they are 54 ohm, can't you see that the working conditions have changed? On the other hand, the connecting cable has not changed, three wires of the same thickness, very thin. Because the "professional" cable must be thin, flexible, low mass and must not pull the headphones from the head. Even "professional" headphone amplifiers still have protective resistors on the output so they don't get destroyed if a short circuit occurs. The first Beyer DT100s that I used to solder the TRS connector to more than 30 years ago came with four wires, with separate systems and had 600 ohms as well, and now they are very often 32 or 16 ohms. Therefore, recent low-ohm headphones will probably sound better if the total resistance (the resistance of the protection resistor at the output of the amplifier and the resistance of the connecting cables) between the amplifier and the driver is reduced. And to come to that conclusion you don't need to be a "professional", it's enough to be a HI-FI lover.
It should be understood that the system we call "professional" does not necessarily mean that it is the best, but usually that it meets certain standards. For headphones, the TRS 6.3mm connector is mostly a professional standard, but it is certainly not the best connector, because the TRS connector itself is very bad and unreliable compared to XLR, LOMO and some other types of connectors.
There is absolutely nothing wrong with using bridge drive amplifier circuits for headphones, it works on headphones just as well as it does for speakers.
I will just state that the use of balanced amplifiers can be helpful because it increases the headroom in systems where the supply voltage is limited, and also the total noise and linear and non-linear distortions can be changed.
The only problem I have with it is when people start making up nonsense pseudo-technical justifications for it, or somehow try to conflate the very valid reasons for using balanced connections for line level connections between equipment with symmetrical drive of output transducers. Start with first principles and understand the reasons behind the various connection choices and eventually everything should make sense.
You definitely addressed this to the wrong person.