What about conservation? On my land, after clearing a bit around the house for fire safety and "pest" prevention, I kept most of the native rainforest. I planted a few syntropic lines of fruit trees, but they cannot cover the land tax I already pay. All my gardening and land management at large is a money sink (unless we consider touching grass an investment).
LVT is about assessing improvements, conservation can be understood as an improvement and valued as such. For the same reasons that urban parks should have a different tax assessment than low value surface parking lots.