A copy of my DD214 is in file with Town I live in, it is a public record because it supports the Tax Credit I am entitled to.
That DD-214 data contains your personal information - that is different from the public property tax rolls. The property tax rolls don't tell you anything but who owns the property, and what its assessed value is and the tax. They may indicate that there is a deduction for a veteran, but they cannot release your data, they can only verify that a DD-214 is on file. That DD-214 would get the county in trouble if they released it to anyone but you or your next of kin.