None whatsoever.
Texas passed our law authorizing concealed carry with license during their 1995 session.
I took the training and received my license in the spring of 1996.
But I grew up in Texas. I have been carrying a handgun, in my car or on my person, since I was in High School. Many of my friends and acquaintances of both sexes did the same.
Texas law was once much less homogeneous and LEOs rountinely knew who carried and who didn't in their jurisdictions and, in my experience, if you weren't a criminal, you weren't hassled about it.
Many people, I'd bet, were carrying handguns in a lot of places before their jurisdictions passed laws for licensure/permitting.
Best,
Will