Of course, the linked news story carries a reference to the old "blood in the streets" argument. Every time removing a restriction on guns is proposed the anti-gun side screams "Blood in the streets! Shootouts at every intersection and in every crowded parking lot!" and yet when those restrictions are removed NOTHING happens.
People who will shoot you over a parking space don't give a tinker's damn about whether they are allowed to have a loaded gun in their car or not. They never have, and they never will, so it is not a good enough reason to prevent a person who can carry anywhere else from having a loaded firearm in their vehicle.
And think of this. Ever let your spouse drive your car? A lot of people do. And a lot of people keep a loaded pistol in their car. Should your spouse, who doesn't have a permit, but can carry a loaded gun all day openly on his or her hip suddenly become a criminal because they borrowed your car to pick up milk?