And I keep thinking my country's tax system is weird.
No way! That is ridiculous. That is essentially equating to create tax havens inside your own country. What is stopping people from high taxation states to just go for a shopping spree on a non-taxation one? Or even a city or town? Nothing. It makes no sense.
My country has a mainland and two autonomous regions. All taxation is designed centrally. VAT, special taxes, income, private and corporate, vehicles, land, house, etc, everything is established centrally. The autonomous regions do have the freedom to fine tune the end % of tax but really nothing else. They can't exempt a tax, just because.