Right, tanker. They're saying merely that if you live in Louisiana and want to carry, you can't get by on a permit from another state whose permit Louisiana honors. Residents of Louisiana have to have a Louisiana permit, that's all. I think some other states also follow the principle that reciprocity is for nonresidents, not residents. Tennessee, for example, recognizes Alabama permits, but if you live in Alabama and take your gun to your regular job in Tennessee, they want you to get a Tennessee permit, too.
I live in Alabama and in theory could use my Florida (or Utah or New Hampshire) nonresident permit to get by here. However, whether or not Alabama recognizes these states, I believe it's always a good idea to have your home state's permit. I'm good in Louisiana on the basis of any one of my permits from Alabama, Florida, Utah, Pennsylvania, New Hampshire, Virginia, and Maine. But if I moved to Louisiana, I'd have to get a permit there.
I can't think of any state that has reciprocity with other states but also makes it difficult to get a resident permit.
Now if New Jersey and Maryland honored Florida nonresident permits . . .