1) You do, just not the land, or rather the value of the land, that it stands on.
2) You don't anyway, until you've paid off the 30 year or so mortgage.
Discussion
1) well unless you have some kind of mobile home that you can just move somewhere else the distinction is pretty pointless
2) wouldn't you know, people actually exist that have actually paid it off, or they acquired the land through homesteading, adverse possession or conquest
1) The distinction is most certainly not pointless, as I rarely deal in absolutes in terms of political economy.
2) Yes, after it's paid off and the mortgage lender has no claim on the deed anymore, then you can properly claim that the building is yours.
Of course, this still doesn't touch on the core issue that the land value increment (asopposed to the actual real estate,ie. The building) happens with no necessary labor input from the owner or resident, and which is shown time and time again to be the core of material inequality in society.