https://www.wsj.com/articles/homes-earned-more-for-owners-th...
The key would be people agreeing in principle and then boiling the frog over a hundred years.
The tax on land+improvements is fundamentally different from the tax on land when different users are considered. Large condo buildings are high value improvements so taxing only land value represents a huge savings for them. Single family houses are generally structures worth only a small fraction of the land they are on, often less than 20% so the savings are marginal. If you adjust the land value tax to generate current property tax revenues the buildings will pay less than they do currently and the homeowners will pay more.
I agree you need the whole system, perhaps implemented gradually. If you change just the property tax portion you offer homeowners increased expenses without any benefit.