Oh yeah, duh. I guess that would be perfectly normal for the battery under those circumstances. That just leaves the one light that's got me wondering.
And I agree with you 100% about TAWS being more of a failsafe than a license to be reckless. I'm just wondering if that button showing OFF is a normal indication on this a/c, or it's indicating that way because the pilots had it switched off for some reason or another. It's certainly too early to try and throw either the pilots or anyone else under the bus, I'm just looking at something that doesn't quite add up with my own meager experience.