> You’re saying that old people should be driven out of their houses because younger, richer people deserve to live in their houses.

Believing that tax bills should be equal doesn't imply that; one can believe in equal taxation of same-value property and not think that property tax should ever force people out of property they own. Deferrable-by-default property tax (either entirely or increases above base year) are better than assessment increase limits at avoiding people being forced out, but do less to transfer wealth up the to already-wealthy elites.