In reality, individuals and businesses like to make long term plans. This expectation makes it incredibly unreasonable for a recently constructed home, office, or retail space which has an expected useful lifetime of decades. They shouldn't be expected to replace it all only after a few years.
This is why I think a reasonable compromise is to have a type of limited "rent control" for land value tax where it is only allowed to increase by no more than 1 percent more than the rate of inflation. This limit comes into affect when a building is constructed and lasts for the duration of the expected lifetime of the building, perhaps 55 to 65 years. That's at least 2 full depreciation cycles (if you're familiar with that). It resets to market value if the property is sold but the limit is not extended any further into the future.