i am stupid
Since the increases were so much lower than historical appreciation, it seemed that they were locked to purchase prices.
They would only change to current market value on a sale
By Proposition 13, the annual real estate tax on a parcel of property is limited to 1% of its assessed value. This "assessed value," may be increased only by a maximum of 2% per year, until and unless the property has a change of ownership.
[6] At the time of the change in ownership the low assessed value may be reassessed to complete current market value which will produce a new base year value for the property, but future assessments are likewise restricted to the 2% annual maximum increase of the new base year value.