Texan for decades, FIREd here. Like
@CheapScholar, I don't think the factors you quote are determinative.
I think a wiser approach would simply be to consider the costs vs benefits of owning vs renting, as well as you can estimate them, based your particular life situation (what stage of life you're in, the income you get from work, whether this is a good place for your work, how long you'd like to stay, etc).
Focus on particular markets, not the whole state, when choosing whether to buy or rent. Killeen is so cheap for purchasers it might save you quite a bit to buy there, if you're going to stay there for some reason. Austin is a different story; I live there and consider the buy vs rent decision very non-obvious for now.
@Axecleaver once circulated the rule of thumb that in markets where a house's purchase price is less than 15 times annual rent, it often makes sense to buy; if price is 21 or more times the rent, better to rent; in between, purely a personal decision. The whole state was under 15 in the past, but now some cities are pricier than that.
Re property tax vs income tax, the impact depends on individual factors. Property tax is part of your rent, that's not the point. The point is that you're going to pay some property tax for your residence, but avoid tax on your income, so the trade off depends on how much property you pay for vs how much income you generate. If you have high income and stay thrifty in your housing choices, Texas can give an advantage relative to other states.
I once saw a comparison of various American high-tech cities that tried to take a fairly Mustachian approach to spending while assuming a tech worker's salary, calculating where the hypothetical worker could best accumulate wealth. Sorry I don't have the link or the right search terms, but Austin came up #1. It's the most expensive real estate market in the state though. I have begun to see comments that people are coming to Austin to create careers, but not to stay permanently. Earn and rent is a legitimate strategy here. In Dallas it's less obvious because AFAIK there are parts of town in each of the three purchase/rent ratio ranges.
Elsewhere in the forum, landlords buying rentals have found very good ratios of rent to purchase price from a landlord's perspective by buying in other areas. Whether to buy depends on your goals and the market you look at.