Back to the Texas part, and why you're "mostly" correct. Because it's Texas: where the wife is always wrong and the laws only protect those for whom it is enforced. Also, who are the police gonna trust? The overreacting parent who keeps calling them, or the one who always says they weren't doing anything?

"Oops, send out another Amber alert. The parent really should have said something if they knew this was gonna happen. Also, we would have been more likely to believe them if they didn't keep telling us all the time that this was going to happen."

I'm in the Deep South, so yes, in cases of narcissistic abuse, crazymaking behavior is real, and the courts are just shit about it, even women judges and women on the juries (there's also the whole Bible Belt submissive women bullshit). Adding that 70+% of cops are (probably under) self-Reporter domestic/child abusers and it gets ugly as all Dante's circles of Hell. Which is why visitation being separate from child support is used here, for the most part.

Edit for terrible manners: thanks so much for a thoughtful, in-depth reply.