Can someone explain why handling a 600 ohm load is a critical factor for making cables used in balanced lines sonically a non-issue? It's not related to CMRR then, right?These days 600 ohms is no longer the standard (although since transformers are still often used, its still around) although there is the expectation that the connection will have a low impedance input of 2000 ohms or less.
The reason for this is that if any noise is induced in the cable, it is usually a weak source (like a magnetic field) compared to the actual signal. So it does not have the same ability to drive the input load like the signal does. Its a simple means of 'swamping' noise out and has the added benefit of reducing the effect of capacitance in the cables.