I think you'll find that the # 1 beneficiary of prop 13 is the elderly including my two sisters and my brother and wife. That was one of the main reasons prop 13 passed in the first place. They were being taxed out of their homes they purchased after WW II. The number of these homes is a small percentive of the homes in Calif.
The same thing was happening to my parents, who had a young family at the time. Their property rates were rising at a much faster rate than their income was increasing. Without prop 13 they would have lost their house.
I read a book on education by some fairly well known liberal, Jonathan Kozol, maybe. He insisted that prop 13 was wholly conceived in order to keep school funds from poor communities. Clueless....