Everyone who says this is pushing a false dichotomy. The two solutions are not "create a landed gentry who pass preferential tax rates to their genetic offspring" and "kick grandma to the curb and throw sand in her face while twirling your mustache".
Many other states have allowances/exemptions for a single owner-occupied "homestead" to prevent older people from losing their homes. Just copy their homework. Under those schemes you don't stop owing property taxes, but (with some variations) you can defer them until you sell the property or pass away. And it is beyond sick (and anti-American and probably unconstitutional) that the Prop 13 tax preference can be inherited by children and grandchildren.
The only "problem" with those schemes (from the perspective of Prop 13 proponents) is that they do not allow the creation of a class of "petite nobility".