Tried both, unfortunately. It's got to be a software glitch. It asks for a password, you enter it... like a 5 second pause and it'll ask again.
I forget my exact release numbers, but it definitely coincides with the update to 9.2. It was happening on a previous release, was fixed by a release, then was reintroduced.
This is exactly what I've noticed. Def having issues on my 6s. iOS 9.2 dropped on 12/8, right around the time I started noticing the drop outs & bad signals