Maybe I'm missing something here, but I thought property taxes were a percent of the properties value. If this is the case I would think a weakened housing market would send property values down, resulting in lower property taxes overall. I know this is the case in my hometown, which is why cities are trying to make up the money elsewhere (code enforcement, more traffic tickets, etc.) Orange County cant just raise taxes because revenue is down, it has to be based on the propertie's value. I doubt the value of these properties has increased during this recession.
There are two parts to it. Property value and tax rate. If value goes down tax rates could be increased to adjust. Were we live it is some what held in check. We have a cap. Tax increase is increased by inflation or 5% whichever is lower. In our area government has two choices, live within what is available to them or put a referendum on the ballot to exceed the limits.