I've been trying to visualise myself walking with knees that bent like that and I'm not sure if I could even get to the chair, let alone sit on it.
Before even thinking about the chair we need to consider the dining table.
If your knees bent so that your feet went up instead of down you'd kick the table and spill everybody's food. The alternative would be to poke your legs straight out and kick the person sitting opposite you.
To remedy both those problems our tables would need to be designed like donuts with space for food and condiments around the outside and a forest of legs poking up through the middle. That would require a whole new chapter in the book of Kitchen Table Etiquette to define the acceptable co-existence of feet and food.
The only chair design I can think of to overcome the problem would be one that was ergonomically designed with a side-saddle orientation. We could then sit like those women who rode when it was considered unladylike to put one leg on either side of the horse.
Here's a picture from my blog showing a woman whose legs bent the wrong way.
If your really want to know, I'll send one of my "associates" Guido, to arrange to have one or more of your knees bent in a very quick procedure. (We sometimes have to do that to our "loan customers" when they run a little behind on payments.) I have hunch, after Guido is done with his "persuasive techniques" you aint gonna care what a chair looks like.