The March “Relaunch”

I was wondering how much the relatively few number of (really good) PS2 games released since the US launch has to do the lack of PS2s available. It seems as if several potentially great games (GT3, ZOE, Onimusha, Red Faction, The Bouncer) have been held/pushed back until at least March when lots of PS2s will be out there.

1. How true is this? Is it just development problems the have slowed releases or a strategic decision by Sony and the developers?
2. If the PS2 launch had gone off without a shortage of hardware, would any of these (or other games not yet available) have been released already?
3. If they are being postponed just because of hardware shortages, and the games are pretty much finished already, are developers taking the extra time to make the games extra special?

When a new console is out there and is hyped as much as the PS2 was/is, there must be great pressure to get the games out. With this PS2 shortage, wouldn’t it be interesting if it might end up giving gamers better games. Lemme know. I need something to cheer me up from the lack of a killer app.