I'm against it, because I often roll poorly, so times when a single roll affects me for the rest of that character's career usually hurt me more than help, and my often poor in-game rolls mean that without good stats, I am basically a heal magnet and nothing else. And most of the time, it means that I am a net drain on the party. Especially since I've been the guy that only had one use for the party, because other players could do my schticks better, despite my being focused in a schtick. And when that's happened, my one use was "plot enabler". I was essentially best used as a McGuffin to explain why the party got from point A to point B. Honestly, when I see THAT during character creation, I'm rarely inspired to greatness.
Don't get me wrong, I've had some great moments in the spotlight with some of these weak characters. But they still ARE outnumbered by the times I've been like.. "go do the heroic thing. I'll just stay here in back so I don't get killed/seriously injured before the climactic fight." And even those 'spotlight' times rarely coincided with me doing something cool in combat. They were often when a minor ability from my character sheet showed up to make me actually useful for once, because it was so unimportant that no one had any reason to take it in character creation other than for flavor and it happened I wanted that particular flavor for my character.
Among the holy beef I want to see cooked and on my plate come 4th ed., I want random factors in character generation the most. I suppose if REAL MEN roll, I don't want to be a REAL MAN. I'd just rather be happy and useful. I don't mind if rolling is a DMG 'standard option', but I would like to assume that if I'm playing a 'default' game, I can be happy without being what is unusually lucky for me.
I may not mind the TDA system, because it does start you off with a equivalent baseline, despite being a random system.
BTW, I like your system, Souljourner. It seems pretty interesting, and provides a useful reason for having an odd Con, and does help balance out the rogue1/fighter1 vs. fighter1/rogue1. The main difficulty then is skills.. Unless perhaps you have a HR that all characters get a bonus number of skill ranks at 1st level that replaces the bonus skill points from RAW?