Jason, for all practical intents and purposes, the Titanic
did sink on an even keel. That's what makes her odd man out among shipping casualties in that she went nose down
without taking on a very signifigent list to either side. The occasional list was enough to become a nuiscence when launching some of the lifeboats, but not so much as to make launching impossible. Serious instablity didn't really set in until close to the end. By this time, all the boats except for the two remaining collapsibles were safely away.
I think you may be thinking of the hypothosis that had the ship had all her watertight doors left open, that she would have settled more evenly and lasted longer. In fact, if you've seen Titanic, Answers From The Abyss, then you would have seen this very thoroughly and publicly refuted using engineers models by way of tank tests which demonstrated that
a)Floodwaters would have reached the dynamos and caused power failure an hour earlier then actually happened in the real world.
b)Free surface action would have caused the ship to become progressively more unstable much earlier on then actually happened in the real world until,
c)The ship
capsizes and sinks half hour earlier then she did in the actual event.
Closing the watertight doors and keeping them closed bought them precious time to get more people off the ship.
If you want to read up on this and more "what if's", go to
This Section of Roy Mengot's
The Wreck of the RMS Titanic.