Thats a plot point in the Foundation series. The empire enslaves jumpship pilots "spacers" with consumable biologicals/chemicals. The "spacers" can't revolt because the empire would withhold these and spacers would die. Another team makes a better formula and gives it to spacers for free releasing the spacers from slavery, and the empire loses its jumpship pilots.
I can see the terrans making an improved drug, and convincing the Jimmies to swap sides for a more enhanced version of Ket White.
Terran approach would be more of engineering a bio weapon that alters Jem'Hadar biology to be allergic to Ketracel White, and suddenly need some new formula...Ketracel...Green? And only Terrans would have Ketracel Green.