Just used one of these the other day. No way you’re mistaking the liquid with a twist off cap as an eye dropper (unless you’re blindly dropping mystery liquids in your eye).
Dermal contact is more likely. They do have ample warnings on the box though and there are plenty of other toxic things in our environment that we consciously don’t apply to the skin, so I don’t really see the problem here aside from “may contain harmful ingredients use caution”.