Not necessarily. Prop 13 in California does the same thing. Property tax is usually based either on purchase price or current value. How long have you been paying the $800.00 and what percentage is that of the price you paid for the property?
To rectify the situation, would you suggest you pay a tax based on the assessed value?
First let me say that property taxes are a license to steal. On the other hand they may the most practical way to pay for essential government services. Mind you, that is all they should be for. As we all know that is certainly not the case.
In answer to your question, yes.
The $800 was what I paid the last year I paid property taxes in Florida. My tax escalation was relatively slow because the assessed value was frozen the year the amendment went into force, and was limited to 3% per year. Now, there is/was no limit as to how much the various taxing authorities that collect property taxes can increase the millage rate.
The county and city are spending far too much money, and a lot of that money is spent on stuff that should not be the purvey of the local governments.