The fact that economically right wing economists like Milton Friedman supported LVT is a great argument against landlord type labelling LVT as far-left and attempting to push the idea outside the Overton window. I think the only valid argument against is it is that a significant LVT would punish those who've worked for their wealth as they've already paid significant income tax. But there are plenty of ways to introduce it gradually. Other arguments boil down to vested interests when I dig into it.