Again, it’s hard to prove a negative, but I have never, ever heard even the most rabid pro-carry advocate (who could well be me, for that matter) say that no permit holder will ever cause a problem. What we can say is that study after study has shown that permit-holders are more law-abiding than the general populace.
WAY better than a LEO badge.
Why do you think so? My experience is opposite, but much depends on department, peers, and specific problems.