Not at all. It means every business that sells to me in my town pays and collects the tax equally.
I believe that is how it already works. But if you contact someone from another state and send them money and they send you a product for that money, they have no relationship with your states government
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They DO have a relationship with my local government.
The package does not arrive by magic. It is, in many cases, delivered by the post office, delivery services etc all of whom have a direct relationship with the local government.
My city pays a ton of money so they can have three giant dumpsters available so everyone can fill them will all the cardboard boxes their stuff came in.