I'm a georgist, so i'm a supporter of property taxes. The idea is that the land taxes don't benefit property owners or creditors, only industry and labour (wealth creation). Unlike most of all other taxes.

I agree that georgism is not without question marks. However your example is not one of those:

Person has a small plot of land (really small, maybe not even enough for subsistence) with a small home.

This person would pay zero LVT, because his plot produces only subsistence. LVT taxes only surplus, not necessary costs of capital or labour.