To a large extent, I agree with both your points. The reason I was asking about the size of one's emergency fund is to demonstrate that for your typical person, you can't just rely on having an emergency fund to avoid the possibility of having to sell your house.

The sensible (dare I say "rational"?) thing to do is to rely on both strategies, i.e. have extra financial resources AND try to buy a house which will be easy to sell if you need to.