There are three skills with the Elixir gun Utility that are labelled as elixirs. The toolbelt Healing Mist and the kit skills #4 Acid Bomb and #5 Super Elixir.
Alchemical tinctures trait:
“Throwing or Consming Elixirs removes conditions from those affected. Your boon duration is increased”
Super elixir already removes 1 condition in its base functionality, this is reflected by the greyed out info in the tooltip.
Healing Mist does function with Alchemical Tinctures, despite the fact it seems you are not consming or throwing this elixir, rather venting it.
Super Elixir and Acid Bomb do not function with this trait, despite the tooltip labelling them as elixirs. I could understand if none of these worked as the definition does preclude them, but healing mist does work. Is this a bug or is it working as intended?