Maybe this will help someone else too:
Because it's such a bitch right now to copy image points in Construct from one sprite to all the other sprites for anims, I changed the approach of what I wanted to do.
Now local UI (health bars that appear directly over the player, etc.) is being set by:
Always - Set to position Player.X, Player.Y +40.
Now the healthbar automatically always sticks to the players coords, but over his head.
Which means I don't need to tack stuff to image points at all and don't need to rely on them.