Sorry, I don't completely follow you..
Sorry for the delay, I got swamped with something at work for a couple of days.
I just meant that pin 1 problem is so recurring, that schematics should be very explicit where things connect together. The way that ElliotSound circuit is drawn, the naive way to follow the connection diagram would be to connect the circuit reference (aka "ground") node directly to the shield connection, which is going to cause noise problems.
This is a more explicit (I would argue the correct) way to notate the connections:
I'm sure this is just a language barrier.
It is in the sense that many people use terminology very loosely and use the word "ground" to refer to many different things. That is why I like to use explicitly accurate words like "shield connection," "shield conductor," "chassis connection," "circuit reference node" in contexts where it is not overly cumbersome and doesn't just make a muddle of the text.
How can the wire's shield work if not connected to GND?
You have mixed up the concept of circuit reference node and shield in your head. You first have to correct that in order to think correctly about where various conductors connect together.
A shield works perfectly well with no connection to the circuit
if the circuit does not have to connect to the outside world. That is a very, very rare condition to be met (the only situation I can think of off the top of my head is battery powered instrumentation trying to measure something like x-ray intensity, or acoustic noise that you want to completely enclose for EMI shielding).
In our world of audio equipment you will always be connecting different equipment together, so you want to minimize the potential difference between the shield and the conductors travelling inside the shield to reduce capacitive coupling of shield noise, and you need a way to keep the common mode voltage between different pieces of equipment within reasonable limits, so you connect the circuit 0V reference node to the shielding enclosure at one point so that their voltage potentials are tied together.
By connecting only at one point you do not create a path for current to flow through the audio circuit due to voltage differences at different points on the shielding enclosure.
only there's no AC mains here
[regarding advice to connect at the AC mains entrance]
So you just pick a reasonable point. Possibly where the external power supply enters is a convenient place.
Since Chassis/Case connects to GND I understand that they are the same
What do you mean by stating "they are the same?" The circuit reference is for audio signal return currents and being the "0" reference for the audio signal, the shield is for forming a conductive surface around the circuit so that external EM fields generate currents in the conductive enclosure and not in the audio circuitry.
Those are different things, so I would say that no, they are
not the same. Thinking that they are the same and that they can be connected together at any random point without regard for where currents flow and where those currents generate voltages across the conductor resistance has been a perpetual source of noise problems in otherwise decent gear.
what's the use of the resistor/cap?
The resistor-capacitor combination is to reduce the current at audio frequencies if there is an inadvertent dual connection formed, while attempting to have a somewhat low impedance at radio frequencies.
Note that having a switch in the shield path makes it mostly ineffective at radio frequencies. My preference is to correctly connect the shields with as low inductance a connection as possible, and if you find that you need to break the shield path either use a cable with shield connected at the transmit end only, or use a female-to-male XLR adapter with pin 1 disconnected internally at the receiving equipment end.