I am sure they are aware of the implication of Mrs. Cox having abortion performed in another state had on their case. Even if she had stayed, the chance of them getting a favorable ruling is pretty slim. As you said, the Texas court is pretty lopsided. I think they are trying to make political statement with this case. The whole fiasco made the pro-life movement looks pretty bad. There is no possible outcome where Mrs. Cox will be able to go home with a healthy baby. Yet, the state is forcing her to go through with her pregnancy. The optic is so bad that pretty much every GOP politicians pretend as if they have never heard of this case.