Killing a PC before they can act is harsh (thoug s**t happens), but taking one unconscious is not. At very worst, in a Leaderless group, someone has to take a standard action to make a DC 10 Heal check to activate the PC's second wind. More commonly, a Leader will heal them up as a minor action.
It depends on how a given DM runs the game. Making a PC unconscious before the player can act can be harsh.
You've mentioned on a few occasions that your encounters can be sometimes a bit brutal. Does that include Coup de Grace? If so, then unconsciousness can lead to PC death quickly. If not, then you are not quite as brutal as you have indicated.
In either case, a single area effect power that includes an unconscious PC is an automatic Coup de Grace (assuming the DM knows that) as long as the attacker is standing adjacent to the unconscious PC. With bunched up initiatives, this can sometimes easily be arranged. With less bunched up initiatives like I suggested, there are more opportunities for other players to do the Heal check that you mentioned.
The odds of a Leader using a healing power before any monster has an opportunity to finish off the unconscious PC are a lot lower. In order to prevent a Coup de Grace, the Leader's initiative has to go before any monster that might kill the unconscious PC. Course, most DMs will have the monsters ignore unconscious PCs, so again, it depends on how one runs the game.
But even ignoring this, knocking a PC unconscious in round one is often tantamount to limiting that player to a partial encounter of playing. Sure, the leader might get the PC back up to close to half hit points, but leaders are limited in how many heals they get. The PC is often still bloodied and often still a prime target of the NPCs. If knocked unconscious in round one, there's a fairly decent chance that the PC will get knocked unconscious a second time, especially if it is a squishy PC like your Wizard example.