To me, full-information games feel immensely boring, they all look like a harder version of Tic-Tac-Toe that require a bigger brain. Just don't make mistakes and you're guaranteed to win. Harder games like chess just make it so incredibly expensive and attention draining that only a special kind of people get really good.
The fun part of Poker for me is exactly the psychological game of reconstructing the hidden info. Tuning your intuition when you know you still lack it is also fun and revealing.
Regarding teaching children: bluff and lies are rampant in real life. Poker teaches to take it into account and to do it yourself in a no-consequence conditions. Even if you never resort to it you need to know what it feels like to understand others.
It's the first time I've been classified as suspicious, to my knowledge. Cool.