We machine a lot of plastic on occasion, PVC, HDPE, and do solid surface on a regular basis. A case of static guard is always in the shop. I hit the internals of the bander with it fairly regularly just as I do stationary tools and the CNC when we are running plastic. Even with good grounding there is enough there to catch the super fines and we have an older bander where the DC pickup is less than phenomenal. It at least makes the bulk of it drop to the floor/bottom of the machine. CNC a light dusting of it around the shoe and while the DC is running makes a world of difference with the stickies.
Dont really think of the veneer issue too much because I'd just be careful at that point but when I think of static I think of plain jane plastic/PVC banding and laminate/melamine and there aint nothing in static guard that you can spray on your expensive clothes thats going to bother my PVC banding.
When Ive needed to its just a quick mist in the machine, hit the hot spots, and it all drops away. It last a good while, not like it has to be applied hourly. Once a day here and there if needed, most of the time never.