Stabilizing jacks don't really stabilize much at all

All the electric part does is run them down for you. It will help if you put them on some sort of pad, and tighten them every day. But the trailer is still sitting on its suspension and tires, which will flex. The X-chock type devices will help, but the only true way to stop it is to jack it up and put solid support under the axles and get the weight off the tires.