Not much room to be upset when replacing just about any tax with LVT would represent a tax savings for the vast majority of the middle class (and just about the entirety of the lower class).
But in the real world the old taxes are never removed, despite promises.
The old taxes suppress LVT revenue (since non-LVT taxes suppress economic activity and thus demand for land), so adopting LVT would be further motivation to abolish non-LVT taxes.