I don't understand the adversarial tone of your post. You don't need to "prove" anything. My post simply stated that to understand Texas State Troops and their organizational authority better, it would be helpful to know more about Texas state law governing militia. State court cases are helpful as well, because the exceptions and situations not spelled out under the law are clarified.
If you don't want to know any more than you do know, that's okay. I just assumed you might be interested.
Each state legislature made their own decisions about honoring militia service. Pension legislation in Alabama and other states clearly stated that a claim such as you mentioned - state service only - would not be honored. Texas State Troops may have been employed more along the lines of the Missouri State Guard, which performed much hard service not only for Missouri, but for the Confederate cause west of the Mississippi.