It's a tough place to be.
If you don't pay Texas sales tax on something, which varies from 6.25% to 8.25% depending on the jurisdiction, you are supposed to pay the difference between Texas sales tax and the tax you paid elsewhere. You do this once, not annually.
This is not unique to Texas. Use taxes exist in almost every other state, including California and New York. Like everywhere else, use tax is often (usually) completely ignored by taxpayers. After all, it's not like we file a state income tax return down here. No one goes, looks up, and files the individual form for 'use tax'.
I don't pay franchise tax in Texas, and I'm not an affiliate marketer - but in my experience it's a rather low-tax jurisdiction with a rather low cost-of-living.
So if you aren't one of those then no, you would not pay franchise tax, but most small businesses do.
And Tex-Mex! I don't see how people in other parts of the country could live without Tex-Mex food.