Right. But the thing to realize about Prop 13 is that it was passed in malice. Angry voters wanted a "tax revolt" because they were upset with the state. That's why it expands to all property and not just primary residences (Jerry Brown's Prop 8 on the same ballot in 1978 was targeted but voters shot it down).
Of course nowadays it's easier to hire behind grandma than it is to defund school buses.
Roughly, yes (it's not exactly what I am describing, but pretty close); I’m saying if you are looking for a model to stop that problem elsewhere that has neither, copying Prop 13 (or even just the assessment increase limit, even if applied only to owner occupied primary residence) isn't the thing you should reach for.