Forget older Californians, you can get priced out of your house just from property value increases in the last decade! Also keep in mind that there's no great system for appraising houses. As someone who has bought two houses and sold one, the appraisal system comes down to "can I find a few houses in this neighborhood that have roughly equivalent room count and square footage that have sold in the last 6 months." So now you hate your neighbors for moving out, you hate the new neighbors for paying whatever market rate is, and you start having to figure out how to move to Sacramento and whether or not you'll be able to get a teaching, policing, fire, nursing, etc job there -- all this despite the fact that you may not actually be able to sell your house for even 80% of what the appraised value is.

What Prop 13 did was to say "the best indicator of the value of your property is the amount the market settled on at the last transaction". It also tries to cover some edge cases (the biggest of which is the McMansion remodel -- look at Palo Alto where $2M gets you a teardown and then you build a $6M house on the lot). Still seems reasonable to me, although of course it's not perfect.