My statement is not one of apathy, but a prediction of worse comparative outcomes with mechanistic backing.
1. Don't assume
2. If you are poor, which do you think is easier? A higher initial capital expenditure? Or a higher upkeep cost?
Another factor: it'll encourage apartment construction, which will increase housing supply, which should help poor people.
Higher upkeep cost is the easier one. Many poor people have a steady an income, but no saved wealth. That's why there are many people able to pay 1800/mo for rent for years, and never able to buy their own home.
And this would make LVT the better option for a poor person, since it would turn "buying" a home into "renting" the land from the state, along with buying the building, which is obviously possible (as seen by the existence of poor renters).
I see you've not been poor.
Where are these places where the buying prices of land is cheap, but the land tax would be high? The buying prices is simply the year rent divided by some discount rate, so typically, the buying price would 20x the yearly rent/tax. That’s a large amount to have to save up (assuming a mortgage is out, like you say).
The trick is to find a system that, despite attempts to game it, has an incentive structure that isn't already explicitly tilted in favor of the rich. Geoism is one such system.