The whole point to presenting your license, is that he can then ask if you have your weapon with you. If you don't, it's no biggie, and if you do, he may ask where it is just so he knows. But when he pulls you up on his computer, he will have to "assume" you have a weapon. I would like to know beforehand if a guy has his weapon or not. It's a courtesy, though I'm not sure it's law.
Common sense applies but the law is on Billybobs side. I always wonder about this though, if the law states I don't have to present my CHL when not carrying then why would I? I think I have given up enough of my rights as to not have to worry about what the cops think if I am not breaking any laws. If I am responsible enough to obtain a CHL then I should be responsible enough to abide by the written laws that govern it, without harrassment or idle threats from ignorants law enforcement personnel.
72 CPRC 9 83.001. 1 TEXAS CONCEALED HANDGUN LAWS
Q: Can I carry a handgun without a license while driving or traveling in
a motor vehicle?
Q: If I am not carrying my handgun, must I still carry my license?
A: Under the concealed handgun law, you are only required to have your
license with you whenever you are carrying your handgun. However,
many license holders choose to carry their license with them at all
A: Effective September I, 2007, a person who can legally possess a
firearm may possess or carry a handgun in a motor vehicle (including
a recreational vehicle with living quarters) that is owned by or under
the lawful control of the person. However, the firearm must be
concealed, the person may not be engaged in criminal activity, and
may not be a member of a "criminal street gang." The person may
also carry the handgun to and from his vehicle without a license. See
Texas Penal Code 5 46.02 (a). However, DPS recommends that you
seek the advice of an attorney with any questions regarding the
unlicensed carrying of weapons.