Would it be detectable to some goon at the border? Probably not. They'd put in the sanitized password, see nothing, and let the person go. If it gets seized and an FBI or CIA analyst gets ahold of it, then yeah the smart guys are going to see it but you'd be in that situation anyway, so why not have an out that may avoid it?
Hidden volumes are impossible to detect, even with the password to the 'clean' volume and full device access.
Yes. https://news.ycombinator.com/item?id=49399927. In the US you don't have key disclosure laws so the best course of action is to shut the fuck up [1].
[1] https://reddit.com/r/funny/comments/olecn5