Like it or not, property taxes already exist and are not going away. LVT is considered to be vastly more efficient than taxing based on improved values of properties. Where LVTs have been introduced they have decreased taxes for most residents: https://www.strongtowns.org/journal/2019/3/6/non-glamorous-g...
I did not write an argument against property taxes. I wrote one against abusing the properties of taxes to achieve goals beyond the primary purpose of taxation.