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Txtension wrote:
But we are all human right? An LTC who accidentally walks past such a sign has a legitimate defense. So, while 99.999% of HEBs might simply ask the "offender" to cover up, that one Mad-Mother-inspired manager may call the police just to make an example of that person

HEB will not tell you to cover up. I used the contact form on their website to ask this question since only two entrances were posted and they were often obstructed by garbage cans. The unit director of my local store called me yesterday. We had a nice friendly discussion about the issue. I was told HEB is in the business of selling groceries and they are not trained in how to deal with an armed person. Their policy is to call the police and let them handle the issue. He understood the impact of the way things were posted and has made changes to try and keep the signs from being obscured by cans etc. I was also informed the middle entrance is now posted. I haven't been by to verify it. Based on my conversation HEB is trying to properly post their stores.