I was going to ask the same thing. I'm a native of La. now living elsewhere, but even WAY before we had CCW, you could have a loaded, accessible firearm in your car "as an extension of your home" as you stated. I don't think the CCW law in any way negated that.
Thanks for replying, I just happened to be online. I remembered my dad getting pulled over a long time ago and simply telling the officer there was a handgun in the glove box with the registration. The officer unloaded it while they talked, but it was given right back; no worries, no fuss. Just wasn't sure if anything had changed.....