Reading the bill in Ladder13's link, "Constitutional Concealed Carry Reciprocity Act," it says:
If you have a CHL from your state of residence, and have it on you along with another valid photo ID, then you can carry in other states and they can't give you a hard time about it.
I don't think it is referring to permit-less carry or what we normally call "constitutional carry."
...Notwithstanding any provision of the law of any State or political subdivision thereof (except as provided in subsection (b)) and subject only to the requirements of this section, a person who is not prohibited by Federal law from possessing, transporting, shipping, or receiving a firearm, who is carrying a valid identification document containing a photograph of the person, and who is carrying a valid license or permit which is issued pursuant to the law of a State and which permits the person to carry a concealed firearm or is entitled to carry a concealed firearm in the State in which the person resides, may possess or carry a concealed handgun (other than a machine gun or destructive device) that has been shipped or transported in interstate or foreign commerce, in any State that—
“(1) has a statute under which residents of the State may apply for a license or permit to carry a concealed firearm; or
“(2) does not prohibit the carrying of concealed firearms by residents of the State for lawful purposes.
“(b) This section shall not be construed to supersede or limit the laws of any State that—
“(1) permit private persons or entities to prohibit or restrict the possession of concealed firearms on their property; or
“(2) prohibit or restrict the possession of firearms on any State or local government property, installation, building, or base....
If you have a CHL from your state of residence, and have it on you along with another valid photo ID, then you can carry in other states and they can't give you a hard time about it.
I don't think it is referring to permit-less carry or what we normally call "constitutional carry."
...Notwithstanding any provision of the law of any State or political subdivision thereof (except as provided in subsection (b)) and subject only to the requirements of this section, a person who is not prohibited by Federal law from possessing, transporting, shipping, or receiving a firearm, who is carrying a valid identification document containing a photograph of the person, and who is carrying a valid license or permit which is issued pursuant to the law of a State and which permits the person to carry a concealed firearm or is entitled to carry a concealed firearm in the State in which the person resides, may possess or carry a concealed handgun (other than a machine gun or destructive device) that has been shipped or transported in interstate or foreign commerce, in any State that—
“(1) has a statute under which residents of the State may apply for a license or permit to carry a concealed firearm; or
“(2) does not prohibit the carrying of concealed firearms by residents of the State for lawful purposes.
“(b) This section shall not be construed to supersede or limit the laws of any State that—
“(1) permit private persons or entities to prohibit or restrict the possession of concealed firearms on their property; or
“(2) prohibit or restrict the possession of firearms on any State or local government property, installation, building, or base....