Thanks for the suggestion. Having tried a blink flip solution like you suggest... it's super disorientating. You touch/open the door, and then it blinks, and then you're looking at the other side of the door. Except because you haven't spatially reoriented yourself, it just feels like you're staring at a different door and you've teleported to some non-contiguous location.
Easiest solution... as crude as it'll be, is probably just allow doors to swing both ways, so you can open into it.