I'm going to argue a little for team doors though I wouldn't say I'm confident.
Feels like are more things with doors and not wheels than things with wheels and not doors. So many buildings and cabinets and dressers and whatnot. Actually, think of an apartment building. A 1 bedroom apartment will have at least 3 or 4 normal doors plus cabinets and the fridge, times the possibly hundreds of apartments in 1 building, plus probably a couple dozen for maintenance, common areas, and elevators.
I do think how you define the 2 greatly changes the calculation, but I think doors do compete at least