It's not solely a redistribution scheme. It's based on the fundamental principle that the government is the ultimate owner of all land, and private individuals are simply renters. If you accept this to be true and good, then it makes perfect sense. If you are the type that wants to be non dependent on the government, it is deeply grating.
"If you accept this to be true and good oh, then it makes perfect sense."
One can accept that the government owns the land while simultaneously believing that the government can abuse that power, just like a bad landlord can.
I don't disagree, But I do think the idea that the government, not individuals, is the ultimate owner of the land is a fundamental assumption of LVT. Not all people believe this.
The fundamental assumption of LVT is that society should be the owner of the land - i.e. that the land is commons. Government can be a manager of that land, but it only has such powers because the shareholders (everyone) vest that power in it.
The basis for this assertion is that land supply is fundamentally very scarce, so this is zero-sum game. If some have too much, others have little, and the former can extract substantial economic rent from the latter.
"ultimate owner" is too broad a brush. Long and detailed debates went on for generations over this. The origin of the USA is in the right of States to determine quite a lot of the details. Federal taxation is only a hundred years old here. Texas and the mid-west are different than California which is different than Florida.
Your "fundamental principle" is fundamentally illegal in the US, at least according to the Fifth Amendment (leaving aside the fact that the Constitution is a dead letter).
I don't think you can avoid the government ownership of land, at least within the US.
If its not the governments, it still belongs to the natives the government stole it from. The individual's legitimacy comes from the government's claims over the land
Even that could be debated. Some tribes also subscribed to the right of conquest, such as the Lakota. Not a pretty thought but just thought it was worth mentioning.