Whether carrying cost is higher or lower depends on the taxation LVT is substituting and the counterfactual utilisation of the land. In practice it is usually lower in rural and suburban and highly developed urban areas and (where substituted property taxes are higher or there are more properties to tax per unit of land), and higher in underdeveloped urban areas (with fewer properties to tax per unit of land).

This is, of course, the point. The carrying costs properly incentivise appropriate land use and development, and the land value is reduced, freeing up the capital locked into ownership (i.e. thin air) for productive use.

The better developed land also ends up with more properties per unit of land, so the carrying cost of property decreases universally.