A lot of people are arguing that it doesn't matter because you can just house rule level 1 hp. The problem is that there is one place you can't, organized play. As someone who mostly plays in various living campaigns, if I have to go back to characters that risk being one-shotted at level 1, then I'm less likely to want to play in an organized play campaign using DDN. There were several times where I've been dropped before getting an action in a low level 3.5 game. Having to sit there for the next hour doing nothing but rolling stabilization checks wasn't fun.
I think in all my 4e experience, I'd seen it happen once.