”No. It’s almost certain to violate your local electrical code. It is to ensure that circuit breakers trips when they have to. Grounding your electrical system to more than one location can cause breakers not to trip during a fault.”
This is absolutely, 100%, correct.
Do not add a separated ground to the system. In the event of fault, the circuit breaker will be bypassed by the new route to ground, stay open, and either start a fire or cause a shock.
If you chose to use the ground lugs on your equipment, the should go to the plug where you have everything plugged in. You could have one lead off the screw on the plug and then a bolt nut and washer tying all your spades grounds together. This is called a “star ground”.
if you are worried about communication between the components, don’t be. Everything will take the lazy path the ground. Not sideways.
but if you are going to buy a fancy box, be advised they are literally what I just described and a handful of diodes (which allow current flow in one direction). Maybe $50 of parts.