LVT would put up the price of food

“A land tax as you propose  would simply increase the cost of land and all it provides including food.”

Land value is the residual value after all other costs have been met. That is standard economic theory and readily observable – there are numerous test situations which have shown this eg shops do not charge more for their goods if they are paying high rents.

The person who made this comment was asked if they could explain how a land value tax might push up prices, as it would have been very interesting to know what the mechanism was. No reply came.