Despite actually watching the video and reading the site, I was still kind of visualizing a push door when I wrote this (whoops!) but I have definitely hooked my elbow or shoulder into the right sort of pull doors if I'm carrying a bunch of equipment, or bags, or something. Or, more likely, I'll brace the equipment against the door and grab with a hand, then keep it open with a foot. Raises the same issues with the dispenser.
In any case, I still think there is risk having this ambiguous button like thing, both from passersby bumping it and from normal use. And, as my comment (and the immortal Far Side comic) illustrates, many pull doors and push doors look confusingly similar, so people will push the pull handles.
Also, may I suggest making your correction in a friendlier way next time? Especially because it is possible that the person you're correcting may not be the total doofus you imagine them to be!