How land is distributed within Hlaalu territories is probably not identical to how you imagine it ("buying a house" is an idea that is very specific to human modernity), but obtaining land in Balmora is almost certainly a question of dealing with House Hlaalu. Maybe, in a formal sense, the Temple controls the distribution of land, but because power in the late 3rd Era lay in the houses, House Hlaalu is clearly what really matters.
I like your points. Although I was under the impression that the Empire owned
all land everywhere, and that the provinces were just paying taxes to utilize it. The games don't focus too much attention on taxation and real estate, but I would imagine if Balmora were real, the elves who lived in their homes would pay taxes to the Houses and the Houses would be paying taxes to... I guess Dren, the governor of Vvardenfell, who would direct those proceedings to King Helseth and Barenziah, who would in turn, give up a big chunk directly to the Empire. I got off track there.
Why do you think people cannot own houses but own land? To me, that sounds backwards, although I'm comparing it to Roman and medieval land ownership and housing. Back in those days, the government owned all the land and the person would, I'm guessing rent, the house they lived in and pay the rent each month, plus property taxes and other taxes, including a pole tax (tax for simply being alive). But you're saying denizens of Balmora, or any House district, may buy a plot of land from the corresponding House but if they want to build a house, they have to let the Great Houses do that and they are the ones that own it?
I disagree because if an individual could own a plot of land in, let's say, right in the middle of Hlaalu territory, what would be stopping him from establishing that territory as Redoran or Telvanni or Imperial territory? Or for that matter, if someone had enough gold, they could buy all Hlaalu territory and make it something completely different. I'm sure there are some laws in the Empire or Morrowind that prevent something like that from happening. Are there?
But I would think that a person would have to get a deed and permission from the House to "rent" or "lease" a plot of land to live on, and depending on how much money they paid and what permissions they were given by the house, that would determine what type of property they could build and how high and all that and what its purpose was for, whether a shop or a home. I know they have free trade (as is said by one of the Pelagiad citizens in-game) but that doesn't mean that the Houses wouldn't or couldn't have strict regulations on real estate. Like for a noble three story house, they would be paying more money each month for rent and taxes for having a bigger and more extravagent home. But they're rich, so they can afford it. And the poor people could only afford to pay property taxes and rent for a tiny plot of land and have only enough money to hire carpenters or plasterers/drywallers to build a tiny one room one story home (like what several of the homes in Balmora are designed like; though I don't quite know what material they are. Looks like hardened clay or something).
Any ways, what do you think of my ideas?
My curiosity over this was piqued because I'm working on my showcase interior mod for Tamriel-Rebuilt and there are documents laying around the house and I'm wanting them to represent taxes owed, house deed, a list of new regulations imposed by House Hlaalu.