Democratic Blue Wave Surged But Did Not Look Like a TsunamiExactly. I believe there are misconceptions about migration to TX turning the state blue, which is to say Democrat. The theory is that people move to TX because that's where the jobs are, but bring their blue state political preferences with them. I'm certain you could find examples of this but I believe them to be a decided minority.
People who move to TX know it is a red state going in. Those uncomfortable with that cultural shift are, I believe, going elsewhere - perhaps CO - or staying put. If anything, who moves to TX are mostly fed-up members of the GOP minority which exists in the bluest states.
Don't hold your breath waiting for red Texas to turn purple or blue. It may eventually happen, but we aren't there yet.