On the flipside, I bet there are locales where the buildings have a lot of improvements with multi-story dwellings and the land tax could be worse.
The article goes into detail about why this tentatively works for Detroit where the majority of tax bills will decrease.
the whole point of an LVT is to aknowledge that land is a valuable resource to the community at large, and using it ineffectively is a harm to the community and should be discouraged through taxation. every exception you make not only removes the incentive, but then creates an incentive to not change the usage of that land to something more beneficial, because the people who've received the exception don't want to give it up.
Or they just time shift it until the person receiving the exception moves away and the property goes to someone without the exception.
Sounds a bit silly.
You could give people a UBI equivalent to the median's persons LVT tax take (or first quartile from the bottom etc). That way the poorer people get a net payment from the LVT system. And you don't need to sniff in people's personal lives to determine which residence is their primary residence (if any) nor what would be burdensome.
You can always provide an exception though, for a primary residence where the increase in taxes would be burdensome on the owner's income.