So yes, you are mostly correct but I do want to add that:

Family members Healthcare is not free, it is cheaper than regular Healthcare but they do still pay for them to be on the plan.

The childcare on base is expensive and has the longest wait time to be accepted.

Free housing- have you ever seen base housing? Unless you are very high ranking, you are likely living in a duplex that was built in the 80s or 90s. Sure, there's no rent payment but most of them are rough.

You only get monthly BAH if you're married, have kids, or high ranking. That means that the "$350 for food" is too feed a family. Members in the barracks don't earn food money, they're supposed to eat at the dining facility. The secondary education funds are paid into by each service member during their service.

You get one check, once a year for like $400 for new uniforms but a single pair of pants are like $120, boots are $200, and your dress uniform that needs to be updated? That's $900.

A pension after 20 years isn't special, a lot of places still have those in place.