I reckon it should help Barge the braided wire for sure. The ST kits come with such a thin shielding layer below the pickguard and stock they don't have too much interference/hum.
I'm also far from a wiring guru too, Weirdy will chime in at some stage and give his advice, leave it to the expert !
You will have to run an earth wire from the volume to the 2 tone pots