California has a little something called Proposition 13 from 1978. That's basically what set the tax rates in perpetuity without an actual reassessment. The value is also strictly based on the sale price.
https://en.wikipedia.org/wiki/California_Proposition_13_(1978)
When we bought our house we only had to pay the property taxes that the previous owner would have have paid. Then we received a supplemental tax bill to make up the difference. With the previous owner the "ad valorem" (value based) taxes were actually less than the special assessments (school bonds, public safety, parks, etc), which were mostly flat rate per parcel. The supplemental bills were maybe 4 times as much.
This creates issues where people just don't want to move if they can help it. It also creates an incentive to not perform a major remodel. If it would require a building permit, there's a requirement that the value of any improvements must be added to assessed value for property tax purposes. The entire assessed value doesn't up to market rate, but if it's a house that's been owned for a while, the assessed value could rise a lot. For instance, I looked up the assessed value of a neighbor's house. It was literally about $16,000 as it was purchased decades ago while the neighborhood was affordable. A kitchen remodel could easily be valued at $125,000.