They aren't going to fix the situation you described. Stabilizers can go a long way toward taking the bounce out of the RV when set up properly, but they won't keep it from moving.
There are a couple of things that you can do. First, I learned that lesson the hard way a while back. I had the tongue jack up on Lynx blocks and it slid off. Didn't do any damage, but I had to go clean my shorts out. From that incident on, the actual foot of my tongue jack goes straight to solid ground only. This will prevent a lot of potential movement because there is more friction between the ground and the foot than the Lynx blocks or the upside down bucket stands I've seen for this purpose. In addition to the lack of friction, the raised tower of support will give way and fall over as it moves. This also prevents the massive jolt as the tongue falls off of said tower.
Second, make sure to always chock somehow. A lot of people like the Andersen levelers that are curved and you back onto them and then chock under them. X-Chocks also work.
Make sure you are solidly fixed in place before deploying any stabilizers. The stabilizers and the aftermarket add ons will stiffen things up to prevent bounce, but I wouldn't rely on any of them to hold me in place.
Current RV Information: 2018 Forrest River Salem Hemisphere 282RK
Previous RVs: 2004 Fleetwood Bounder 32W; 1999 Four Winds Five Thousand 21RB; 1986 Allegro Bay 27'