Every time I've seen this come up, it turns into a kind of coastline problem. The closer you look at everything we've built you just start finding more and more doors and just as you think it must be the winner you start seeing all the wheels that go along with them (or vice versa).

It's impossible to know which one wins without very clear (and limiting) definitions of "door" and "wheel". Those definitions would have to be equally restrictive to both "doors" and "wheels" or else the limitations decide, not the world we've built around us. I posit that anyone claiming to have an answer have made up their own limits of what "counts" and those limitations are likely not equally balanced.