The Economist column that the OP linked to makes an elementary mistake: it says
"Land value taxation is so beloved of economists because, in theory, it
does not distort decision making. Suppose a land value tax of one per
cent on land value is introduced tomorrow. There can be no supply
response: there would still be as much land as there is today."
Bold letters my emphasis. Who on earth would ever equate the economic concept of Supply with the meaning of the word availability? Especially for goods that are not transformations of other goods and so embody a very tangible opportunity cost if left unsold (plus the unavoidable depreciation)?
Sure, if I produce cars, I want my cars to be sold, and if a tax is imposed on them, even if I have to fully absorb the tax. I may change my behavior in the future, but right now I want to see my inventory sold.
But it is by no accident that, globally, Accounting Standards prescribe that no depreciation is calculated for unimproved land (and if it is improved, then a portion of the value attributed to the landfield per se remains non-depreciated). This reflects the actual fact that the value of the land itself is purely a matter of surrounding circumstances.
But the Supply of Unimproved Land can be much more easily reduced if prices fall, in the sense that the land stops being for sale.
What such a tax can also do is to provide a "negative" incentive to sell, in order not to continue paying the tax. So in any case the tax will tend to affect the Supply of land :some landowners will withdraw their land from the market, even if this means bearing the tax, because they may figure that they can wait so that land prices rise again to an overall gain, while some others will be induced to sell the land they did not have up for sale prior to the tax, in order to not be burdened with the tax.
On the other hand, Milton Friedman's "least bad tax" quote (from the same link) is a true economist's thinking: weigh the pros and the cons, try to give the world a clearer picture to help them decide.