To be honest, that hopper quest should be purged from the game. It's like a tax to get to the good stuff.
Not sure. It seems to be a basic intelligence test just like depot A is basic build test.
And people seem to fail at it. And then come to the forums to complain about it with realising they are just marking themselves as idiots.
In that case, it should be replaced with a basic mathematics question, which is probably more entertaining.
Cooldowns are not great systems but they work fine in Underrail. My only complaint is out-of-combat cooldowns. You can't get rid of them entirely because they are necessary when you're running away or sneaking around, etc, but it is annoying when in very safe situations.
I wonder if you couldn't just have pickpocket, lockpicking, etc. be instant if you are not in stealth, as well.