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On paper yes, but in practice there will be a de facto tax on improvement due to higher demand caused by what an physical improvement of one's own property signals.
> The exodus from city centers stems from farther-out places being cheaper - i.e. having lower land value.
Lower cost is not necessarily lower value. It's possible for areas out of the way to cost more, even if they start cheap, simply due to a short-term spurt of high demand. There are, for instance, empty parcels of land in Idaho that now go for more than whole apartment buildings in Detroit there despite the city being the automotive capital of the United States where one had historically seen the opposite trend.