Well, in my experience, the shielded portion of a coax cable can generate a ground loop — if you ground the woven-shielded outer portion at both ends of the coax cable. This is especially true in low-level inputs, like phono or mics.you can use the coax, grounded at both ends for that situation instead of a wire. Ideally the shield would then ground to the same point that the cathode resistor grounds to, and if the grid resistor is at the tube, both grid and cathode resistor would tie to that same spot. If you use a wire, the wire would ground to that spot instead. However you slice it no multiple paths to ground is the key. Tying the ground to the same spot as the cathode resistor prevents any noise difference between the two from being injected at the grid to be amplified.
I just posted this to be sure that the OP didn't double-ground the outer portion of that input cable.

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