The source of the whole discussion was my Saturday game. A PC got hammered and the player made his check on some count other than his PC's; I think it was the count of the enemy who hit him. I questioned him about this later, and he claimed that it was a pretty common house rule (he has strong rules-fu, trust me) that was in keeping with the old 3.0 intent of giving the PC a chance to get "rescued."
Now, my initial review of the RAW led me to saying exactly what you and everyone else are: you roll on your count, and them's the breaks.
But, then I thought about the aformentioned HERO System. In HERO, an unconscious or dying PC's SPD (the stat that determines when you act), drops to the bare minimum. This prevents fast PCs for being penalized, i.e., from "dying faster."
Then, I thought about Delay, and that it wasn't an action, and it seemed like the same sort of thing. You drop the unconscious guy to the bottom of the init count via Delay to give him a chance to get healed.
As far as "abusiveness" goes, I don't really see any. The only situation in which this really makes a difference is the PC who gets immediately dropped from positive hp to exactly -9hp right before his turn. And, even then, it may do him no good of no one else in the party is in a position to help that round. In any other situation, it really doesn't make a difference.
I'm not claiming RAW firmly supports this, just that it seemes reasonable. Ergo, I'd be curious to see if WotC feels it's within the RAW's intent.