Yeah for sure.
I believe that's true all over the country though. Rural areas tend to have people that believe differently than urban areas. Austin is definitely "bluer" than the rest of the state, but Dallas and Houston are getting moreso with every passing year. Odessa, on the other hand, would most certainly fall into that more rural description.
Similarly, the folks I know in upstate NY think VERY differently than the people I know in NYC. And so on...
That's true everywhere, of course...
The way I look at it is which perception dominates the state.
Here in California, we have plenty of rural population that has NO allegiance to the LA/OC/SD megalopolis or the Bay Area metropolis and the attitudes of those areas. But the population of those areas so dwarf the rest of the state that when people think of "California" they think of the populated coastal areas and not the rural inland areas.
In Illinois, even though the Chicago metropolitan area is a tiny portion of the land mass of the state, it's so much of the population that I believe when most people think of "Illinois" they think of Chicago, or at the very least they think of two completely separate Illinois--Chicagoland and then the rest of the state.
With Texas, I think it's Austin that's the outlier, and often by choice. When you think of "Texas" your perception is big trucks and oil industry and cattle. Even Dallas/Houston, while they're big cities, are seen as more "cowboy/oilmen" cities, that have a VERY different vibe than someplace like San Francisco or Chicago or NYC. Austin's the deliberate outlier, full of tech industry computer nerds, full of college hippies at UT, and where they want to keep it "weird."
Austin isn't big enough to define the state, so it thereby becomes the outlier in the state.