There are bills in the works in the Texas Legislature to remedy that absurdity -- IOW, to allow open carry in public.
Out here in the boonies, I carry openly -- with a couple of "snake" (shot) loads "up top". In urban environments, I consider concealment to be both tactically and socially superior. But I hate having to be paranoid about preserving concealment just because of a stupid law!
If the wind blows your shirt up or you reach up to the top shelf on the grocery isle and the clerk sees your gun, you are NOT in violation of the law. The State has an extremely high burden of proof by having to prove the mental state of INTENTIONAL, so don't be too freaked out.
A change in the law to just say "license to carry handgun" would be nice though. I would at least like the option.