This is probably a long shot, but we had something similar with our set ups in our primaries... about 18 months ago we rolled out a batch of Dell E5510's without any issues. We then replaced a bundle of projectors with NEC NP310Gs and a number of users started reporting 'jittery' cursor movement, and jaggy horizontal lines when drawing on their Smartboards. Like you I eventually narrowed it down to only happening when the VGA cable was attached.
Turns out that the previous projectors had been grounded, the NECs were double insulated, and the E-port replicators we'd just put in were also DI (they shipped to us with the two-pin version of the mains jack, randomly the next batch had three-pin sockets on the mains input side). Some weird ground loop interference I guess. Was able to prove it to one of our sparkies who was very sceptical about it by using an anti-static wrist strap (the sort that clips on to a yellow plug) and croc-clipping it to one of the thumscrews on the VGA connector.
Eventually convinced our property maintenance people to re-wire VGA sockets to ground them properly for any users experiencing the issue.