youll have to clarify this. if you bought property, and you pay property tax on it, and the state is electing to return some property tax that you paid, back to you, why would it matter if you are a resident or not?
if you dont pay income tax to a state, i can understand 100% why you should not get income tax back-even if you own property in that state.
If you own a "summer" home in Montana you get zip back on your property tax, if your work & live here (and pay income tax as a resident) you get some property tax relief- caused by all the inflationary havoc that damn "summer" properties have reeked on residents living here. Home values here (which property taxes are based on) have gone through the roof. There are folks who have their homes paid off and can barely pay the property taxes on them and its continuing to go up with no end in sight.
Don't like it, simply move your "summer" home to another state or start paying income tax as a resident.