For those same reasons I have a similar appreciation of the walled balconies on the Boardwalk so you're not alone! Other places though I prefer open.
Here's what I did the one day in a room where there was only a table and no chairs on the balcony. lol I did eventually call and they brought a little plastic one.

It was in an HA room so best I can guess is they were removed for someone who needed to stay in their wheelchair. It gave me the most comfy balcony chair I've ever had at Disney! Am I correct in thinking though that they did not keep a seating chair in the living area?