The bad logic is as follows: Speed in excess of posted limits increases the probability of a traffic related accident. This is affirming the consequent in combination with an appeal to probability. The reality is that there are typically a multitude of variables responsible for traffic accidents, and so isolating and then blaming one of those variables in isolation results in a belief system that ignores evidence.
The primary cause of most traffic accidents is driver inattention irrespective of their speed. A driver who is not paying sufficient attention and driving with excess speed is more dangerous still, but the primary factor there is still not the speed.
Now instead of heavily enforcing speed limits aggressively everywhere, often as a money making venture for local municipalities, Texas police instead focus on more import aspects of criminal law and community service. Reckless driving is still just as heavily enforced however.