This seems to be a problem directly related to the Texas Department of Public Safety. I believe they think they have found a loophole in the law and intend to use it until someone slaps their hand - Per Texas code 411.206, 411.207 and the "Book" Texas Gun Law Armed and Educated 2016-2017 pg 224.
Just this year, I was involved in a serious automobile accident while armed. My first response when the firefighter pried open the door was "I'm armed and I have a permit". It was not "I'm hurt" or "call my wife" - I was more concerned about the legality of the situation than my physical injuries. They were very understanding as I was extricated from my truck and
moved to the ambulance. As I'm getting assessed and prepared for transport, I continued to state that I was armed and needed to transfer my weapon to someone. I had this terrible fear that all of a sudden someone would shout "he's got a gun" and get dumped out of the stretcher, cuffed and get transported to jail instead of the hospital. The captain of the fire department graciously took my .38 and told me he would hand it over to the state trooper when he arrived. Only then did I feel that I had done everything right and could focus on dealing with the injuries.
Once at the hospital, a city police officer spoke with me about my weapon and that once the trooper had finished the accident investigation, "he would bring the weapon to the hospital and secure it in the city police officers safe". He said that "when you are discharged from the hospital, I will return the weapon to you". After a multitude of CT scans, x-rays, exams, etc. I was discharged that evening. My weapon was returned to me as stated above BUT unloaded and without the rounds.
This does bother me since, in effect, the state trooper has (at the time) rendered me defenseless. Regardless of the circumstances (pulled over and ticketed or a routine questioning without charge, etc.), I can be disarmed, have my weapon returned unloaded and must either return home to reload my weapon or carry a box of ammo in my vehicle for each time I'm stopped.
By the way, Federal Hydrashock rounds are not cheap.