I read that to say something different.
(b) Section 46.02 does not apply to a person who:
...
(6) is carrying a concealed handgun and a valid license issued under Article 4413(29ee), Revised Statutes, to carry a concealed handgun of the same category as the handgun the person is carrying;
I'm going to re-write this as what I see it saying.
(b)
Section 46.02 in its entirety,
does not apply in any way to a person who: (6) is currently carrying a concealed handgun and a valid license issued under Article 4413(29ee), Revised Statutes, to carry a concealed handgun of the actual type the person is currently carrying;
In other words. If you are carrying a gun and a license, and the gun is the type that is stated on the license you are carrying, the Statutes that restricted you previously in Section 46.02 do not apply, so far as you have the gun of the license type(SA or Revolver),
and the license is also on your person in addition to any illegal knife or club as noted in Section 46.02 and as defined by Section 46.01.
If you look around other parts of Section 46.15, it lists specific parts of Section 46.02 that do apply to certain roles. Good examples of this are Subsection(s) c, d, and e which state specific parts of Section 46.02 that still apply to those roles.
Because the Statute clearly defines certain parts of Section 46.02 that
are applicable to certain roles, yet it
does not specifically state any exemptions to Section 46.02 for a CHL holder, it seems clear to me that the law states that if you have your gun, and your license, you are not bound by Section 46.02 of the Penal Code in any way.
Because of that, the 3 types of weapon listed in 46.02, a firearm, club, or illegal knife become legal for you to carry. You are still restricted from carrying any prohibited weapon listed in Section 46.05, including a "switchblade knife," but in the terms the Statute uses, and because of the framework of that particular Statute, it clearly means to me that a CHL holder is exempted from Section 46.02 completely while carrying a gun and a license of that gun type.
I don't plan to carry an illegal knife, so I really don't care either way, but that is ultimately what I read that particular Statute to say.
-SS