For example, a person carrying in a car WITHOUT a CHL can drive into a 30-06 marked parking lot legally while a person carrying in a car WITH a CHL can not.
I haven't looked at this particular section of the law; but I don't see how that could be possible. If you have notice that entry on to a property is forbidden, then continuing to do so is criminal trespass
(and committing criminal trespass while armed is a Class A Misdemeanor in Texas). I don't see how the 30.06 sign could be effective notice to CHL holders; but not effective notice to others that entry is forbidden.