I'm going to agree with Infiniti2000 that without sited sources, and this being cleared up in a errata or something similar, where everyone can get it looked at.
I'll continue to do what I currently do.
When you are dying you are in that condition state, and are no longer bloodied as you moved into it on the dying track.. (remember that's what death used to be, a death track) and thus are no longer bloodied as a state. And thus regenerators stop regenerating when they are bloodied.
Basically, there are 3 states, Above Bloodied, Bloodied, and Dying. This prevents certain powers being broken (consecrated ground), shifter regeneration, and so on.
And until it's clarified specifically with stated WotC full on presentations, i.e. updated erratta or similar (and it's not like they can't do it).. I'll go with what we've been doing since it released.
(NOW that said, I wouldn't be overly concerned if they did state that while dying your bloodied, and made it official. But until it is, this is the route I'm going to continue to do, as the players have more than enough resources at their disposal to avoid death.)