This article doesn't provide any reasons why a property owner should want lower property taxes; why would you want to constrain prices and prevent speculation? I don't own any property myself and am sympathetic to the idea of raising property tax, but many arguments for LVT/raising property taxes don't paint a convincing argument for why property owners should vote against their self interests.
In the United States, people have long seen real estate as a path to wealth (unlike Japan, for example), so it's difficult to reason that people's primary homes shouldn't be their escape hatch into retirement (e.g. the dream of someone buying a house in 1980s Palo Alto and selling it in 2022).