I understand your explanations perfectly, but I was surprised to learn that it was correct to use "mitad" and "medio" interchangeably when discussing physical space.
It seems to me that way back when I was first learning those concepts, I was told that medio meant middle and and mitad meant half, and that it was an error to confuse the two. Is this a case of one of those "errors so common among native speakers that now it's not wrong anymore" ? Or was I taught incorrectly to begin with?
Thanks for the insight!