Hypersmurf
Moderatarrrrh...
This, to me, is one of those instances where it's up to the DM to make whatever ruling he feels is most appropriate, so long as he's consistent.
I suspect you'd find that most DMs would give the same answer to "Can a 4E character maintain a stance while unconscious?" and "Can a 3E/3.5 barbarian continue to rage while unconscious?" - some would say yes to both, some no to both, but few would give different answers to both.
(Of course, every one of those few is about to reply to this thread to tell me how wrong I am!

-Hyp.