Warp Core Stabilizers do work but at the cost of reducing your targeting range and speed by 50%.
Plus they take up a precious low-power slot that could be used for anything from speed, tank, or weapon enhancement.
I should also note that, with very few exceptions, NPCs use Warp Disruptors rather than Warp Scramblers.
Disruptors will simply prevent you from warping out. But you can still use Microwarpdrives and Afterburners to get out of range.
Scramblers will “jam” Microwarpdrives in addition to preventing warp.