[dragonwriter]

> Is there wide agreement it is misbehaving and ought to be changed “somehow”?

No, voters overwhelmingly support Prop 13 in general, and feel that property taxes (which in fact are extremely low by national standards due to the Prop 13 nominal rate limit even before considering the Prop 13 assessment increase limit) are high in California. (What's actually high is property values, as a result of both Prop 13 and development policy -- and the development policy is itself, in part, due to incentives created by Prop 13 which align with those created by homeowner NIMBYism.)

It has been tweaked before, and you could maybe pass tweaks again that would enhance revenue in general, but by and large the basic structure is going to be very hard to change.