I think Neville is smarter and more capable than he usually seems to be ... except in time of extreme necessity. Then he shows what he can do.
And honestly, I think he has better instincts as a human being than Harry, Hermione, and the Weasley students. I'd sooner trust Neville with something of value than any of them.
I think Hermione is extremely trustworthy. She used the Time Turner responsibly and never told anyone about it until it was absolutely necessary.