Wouldn't a land value taxes be regressive for condos as the more expensive ones are on higher floors and would pay the same rate as people on lower cheaper floors?
Which is not to say that the outcome would be fair, but whether it is or not would depend upon how these organizations are regulated and run.
Also, LVT don't fix zoning as the value of your land is based on what you can make from it. If your land is zoned for only single floor parking, nobody is going to buy it for more than they can earn through single floor parking so the land won't be that valuable thus it won't have a high land value tax.