OK, I have a nearly dead battery in the phone, and I just powered it off - while connected to my charger.
What's more, the charging light blinked off when it powered off, then blinked right back on.
I will check the phone in a coupe of hours and see if it is actually charging the battery or not.
If so, then this is excellent news.
I am also going to test this on a AC-sourced charger (all of these have been using PC-powered charging).
Finally, I will also test using my Multimedia Dock.
So far, though, so good.