>Yes, but it still doesn't affect the (rational) landowner's decision. Imagine an improvement that can net the owner $Y a year in profit. A rational owner should always make that improvement, regardless of whether the government is also taxing them $X a year on the land.
It's not just about whether return is positive, it's about the highest ROI considering opportunity cost.
Consider a simple case where two lots with one story of development each can produce as much as a single lot with two stories of development. With a tax on land+improvements, a landlord does not prefer one over the other. With a tax on land value only, the single lot with two stories is preferred.
>If they doesn't have the money/capital to do so, they should sell the land to someone else.
Indeed. If the neighbors have ten stories of development, a landlord with a one-story building will not be able to afford the LVT and will sell to someone who can afford to build ten stories.