No, they aren't. Prop 13 limits maximum property tax rates to very low amounts as well as limiting assessment increases, so no jurisdiction is able to make up for artificially low assessments by jacking up the nominal rate.
> (as are the number if different fees and things like sales tax).
Mostly, it's state income tax, though state and local sales tax are also affected (there are general and program-specific revenue sharing mechanisms by which state revenue goes into local coffers to pay for local programs.)
It is reassessed at market value after a non-family sale.
Lower housing stock leads to inflated home prices, causing higher taxes paid by more-recently-purchased homes.
Actually, it's reassessed annually, there is just a limit to annual assessment increases except with qualifying events.
Which doesn't change the fact that Prop 13 limited nominal rates to lower values than many jurisdictions (including core Bay Area ones) were before Prop 13; jurisdictions aren't making up with artificially low assessments on long-held properties with higher taxes on other properties. Yes, those other properties are assessed closer to full value, but it's not offsetting anything. If you cut the food you eat on weekdays by 50% and that on weekends by 66%, you aren't making up for the reduced weekend calories by eating more during the week.
Because it discourages owners of existing residential real estate from upgrading it to higher density to meet new demand, since doing do would trigger full-value assessment and decrease the returns; this means even discounting NIMBYism and zoning issues, market response to demand is slower and involves more rent increase to source the same level of redevelopment as would be the case without Prop 13.
Also, it subsidized people mstsying in their currently-owned single family homes, which makes the unwilling to (and thus demanding a higher premium to) move out of a place in-demand for working people when they retire, even if they are over housed. (This is, in fact, just a slightly different view of the retirees-being-forced-out-by-property-tax image that was used to sell Prop 13.)
Because it heavily discourages people from selling their houses, reducing turnover and with it the potential for redevelopment.
Without prop 13, houses would be re-assessed every few years. The owners' taxes would increase (or decrease) as the value of their home changed. If property values increased enough, the taxes would encourage them to sell the property for a tidy sum and move someplace cheaper. A new buyer is much more likely to demolish and redevelop than the existing owner.
A straight-up repeal of Prop 13 would repeal rate limits on property taxes as well as assessment increase limits (both are part of Prop 13) and probably lead to jurisdictions, over time, increasing property tax rates and overall property taxes. It would probably reduce increases in sales, income, and other taxes, which currently are used in place of property taxes because they have no Constitutional rate limits.
One reason may be that you are concerned that restricting the development of land would drive scarcity, leading land values to rise (which would cause your property tax to rise). You're effectively forced to pay for the cost of rising land prices.
...Now, if you are sheltered from rising land values, as per Prop 13, you now suffer no repercussions from a downzoning, and in fact may be completely indifferent to how the land market is behaving. Many homeowners are now free to act in their own best interest (which means downzoning), instead of being incentivized to create capacity for more housing.
It certainly entices people to hold and rent properties they own rather than sell, but those units are still part of the housing stock.
I think repealing prop 13 for commercial properties makes sense as a way to raise tax revenue, but don’t see doing so for residential property having an impact on housing costs.