Excellent video, as usual, and informative comments here on the forum. Most of my airline travel is on the West Coast, except for the occasional overseas flight, when I of course have to leave my guns at home. Most of my domestic flying is on Alaska Airlines, which as far as I know, has no limitations on ammo, or number of firearms. I'm fortunate to be certified for nationwide carry per HR-218 / LEOSA, and as a retired police officer, one of my main concerns is theft. Because of that concern, I usually will try to determine which of my handguns I'm willing to risk losing while traveling. (Fortunately that hasn't happened.) I have several to choose from, but it most often turns out to be my S&W 642, J-frame. When I carry my snubby it is loaded with Hornady Critical Defense ammo, so I never feel under gunned. Like Mike, I carry the ammo in factory boxes, with enough for carry plus two reloads, in this case, speed-loaders.
The only problem I've ever had was in San Jose CA, where the ticket agent in training panicked when I declared I had an unloaded handgun in my checked luggage. The TSA and Airport Police showed up, and was able to calm her and her supervisor down, but for a couple of minutes it was a bit tense.
I always carry a copy of the airline and TSA firearm policy with my carry-on luggage, along with a printout of the HR-218 statutes.