You could do that if you end up with a noise issue. Voltage from a phono cartridge in a tonearm is between 0.005-0.0001V, voltage from a typical source feeding a Crack would be 5V-0.3V, which makes it vastly less susceptible to noise intrusion.
The most beneficial precaution to take is to run the braided wires along the outside edge of the chassis plate, away from the red/black twisted pair of wires running to each tube socket.
-PB