When using an adrenaline skill on a warrior (doesn’t matter if it’s full adren or partial adren, doesn’t seem to matter which skill it is either), and when the hit lands successfully, the cooldown for the burst skill starts as it should. However, the adrenaline bar does not empty itself, not until the next skill is used.
So, if you don’t use a skill after using burst skill, your adrenaline bar will stay as it was before executing the burst skill. If you wait long enough for the burst skill cooldown to finish, you can actually use a burst skill again and land that, too, successfully.