EDIT: I was wrong about this.
Or you have multiple kids and you sell the place and split the cash... nice windfall, taxes or no.
Meanwhile, the people whose parents DIDN'T leave them one of those houses are still way worse off...
To an outsider like me, this seems like one of the worst features of Prop 13. Over time it separates people into two classes: those whose family has owned property for a long time, and everyone else who can't afford to buy a house because the taxes are prohibitive. (Even if you're very rich, it will make more sense to rent than to trigger tax reevaluation.) Call it neo-feudalism.
But that's also largely a factor of mostly high-income people moving in, while mostly lower-income people are moving out. Keep up the business climate that fuels the inward funnel of money, and you'll keep prices high. Even if you reduce restrictions to building supply, you'll have a game theory bit of not lowering prices in any hurry since people can so clearly afford them and are so clearly willing to pay them.
Prop 13 benefits corporations, long term property owners, and people that inherit property. At the expense of renters, new home buyers, and beneficiaries of public goods and services.
They have to live in their fabulously high priced and undertaxed home to enjoy the benefits. They can't move to another town or maybe not even take a job in the other side of town.
https://en.wikipedia.org/wiki/1978_California_Proposition_13...
Now let us look at it from the other side
1. The family, probably unfairly, benefited from not having to pay the full tax for so long.
2. In scenario that you mentioned the kid just inherited a $1m+ house. What part of it makes him poor that he can't pay the new property taxes? Sure, they might choose to cash out and go live somewhere else because it makes financial sense for him, but that is not `an unfortunate` situation at any stretch.
3. I know there are significant cost-basis advantage here, in additional to all the wealth just inherited, but I don't know enough about it yet.
[1] https://source.wustl.edu/2015/12/most-americans-live-surpris...