Have traveled with then several times in the past year. Sometimes half my carry On was filled with them because we had over a day of travel ahead. Had no problems at any point

I travel with those things routinely. Provided you can present a toddler and don't mind them occasionally opening them to examine them with chemical test thingy, it should be no problem (I also take juice and milk routinely, same deal).

Guns?

Sincerely, idiots in the US

http://www.washingtonpost.com/local/trafficandcommuting/tsa-you-need-to-know-where-your-firearm-is-dont-put-it-in-your-carry-on-bag/2014/06/11/d9f8284c-f17d-11e3-9ebc-2ee6f81ed217_story.html

I've had the security guys scrutinize the squeeze pouches - at least some consider them liquids. One of the brands (Ellas?) makes a small version that is around 3oz - I always carried those and even the most skeptical agent let those through.

I have traveled with a kid and these kinds of pouches many times and never had one questioned, let alone confiscated. Most recent was today out of DCA with a 4 yo. Also not questioned or rejected today: a tub of hummus. YMMV.

That is, if you can get your applesauce into a 1-quart bag and it's under 3.4oz, it's probably fine. But if not, they might make you toss it at security...

I think they're probably considered liquid. Via the TSA blog:

Baby Formula, Breast Milk, Medicines & Juice: Medications, baby formula and food, breast milk, and juice are allowed in reasonable quantities exceeding 3.4 ounces (100ml) and are not required to be in the zip-top bag. Declare these items for inspection at the checkpoint. Click here to learn more about 3-1-1.

Snack Time!: Kids love their snacks. Food items that are in the form of a liquid or gel are generally not permitted however, items such as cakes, bread, donuts, ham sandwiches, etc. are all permitted. Here is a list of items that are prohibited at the checkpoint… Creamy dips and spreads (cheeses, peanut butter, jams and salad dressings, jams, jellies, maple syrup, and soups).

http://blog.tsa.gov/2010/06/traveling-with-kids.html

those squeezy bag things of applesauce, or is that considered liquid?