I may be the wrong person to attempt to answer this.. but the circuit only needs to refer to itself: this "common circuit ground" doesn't have to connect to the chassis. The circuit would work just fine.
However, all wire screens should be connected to the common ground (at one end only) and the chassis is in effect another screen so it too should be connected to the common ground.
The safety "ground" - the connection from chassis to true earth via the mains socket earth wire - stops you getting shocked in the event of a wiring fault which connects the chassis to a high voltage line. Any current would find it easier to flow through the safety ground to earth rather than through you to earth. The safety ground has nothing to do with the normal operation of the circuit.
However, all wire screens should be connected to the common ground (at one end only) and the chassis is in effect another screen so it too should be connected to the common ground.
The safety "ground" - the connection from chassis to true earth via the mains socket earth wire - stops you getting shocked in the event of a wiring fault which connects the chassis to a high voltage line. Any current would find it easier to flow through the safety ground to earth rather than through you to earth. The safety ground has nothing to do with the normal operation of the circuit.
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