Something I think most people miss is that LVT doesn’t increase directly because of the improvements. If you build a coffee house, the building and equipment are excluded from the tax. It just applies to the underlying land value.
But a popular coffee house can make the surrounding area more desirable. If that increases what people will pay for locations there, land values rise. At the same tax rate, that means higher LVT for nearby sites, and, potentially the coffee house’s own site. Gentrification by other means.
In a lot of ways, it depends on what the comparative LVT base is. If its just blocks or streets nearby -- a single happening place can push the value up. Spread out to the census tract, the city, the county, and now you can toss more and more of hot coffee shops in the same place with minor impact to the tax base.