Every taxing district I have looked up property in shows the actual amount billed. They always show all applicable credits the property or its owner qualify for. I haven't tried to look up NYS records, but I don't think it's any different.
But again, what portion of the taxes in question are actually property taxes. I pay lots of business taxes and my business owns no property.
You are saying if I bought a piece of property and paid property taxes on it, that all of my business taxes would suddenly show up in the property tax records?