the mix of the time, space, and 'possibility' dimentions is completely arbitrary and is not explained at all. There might as well just be 10 spacial dimensions, which this video doesn't help to visualize at all.
Well as I understood it the video highlighted that higher dimensions were about quantum implications (different possible universes) rather than anything spacial.
It is important to understand that the many-worlds interpretation makes no claims about where those worlds exist. The video proposes a heirarchical order to the universes --- a metaphysical filing cabinet. It labels them; it does not aid in their visualization.
[Note that all ten of string theory's dimensions would need to be reproduced in each alternate universe --- not the other way around.]