One of the reasons he thinks it is his house is he stole the election and the house goes with it.
Two things. First of all, “The People’s House” refers to the House of Representatives. The original intent of the founders was that the House would be democratic, the senate would be the federalist voice of the states in congress, that the president would be elected by a short term, ad hoc body, the electoral college, instead of directly by popular vote.
As such, the White House is the “official residence and principal workplace” of the POTUS, though that is just the tip of the iceberg, the bulk of the executive work done in the Eisenhower Executive Office Building, located just West of the White House.
The second thing is that Moochelle’s birthday party is totally paid for out of taxpayer money, and my point is that perhaps an entire year of White House tours could be provided instead; as they could for each of the endless vacations of the current occupants, also paid for by the taxpayers.