Since people are trying desperately to reduce this QB decision to a simple yes/no status, let me try something here.
This is 2005 - not 2004. We have a very small data set to work with since there has been only one game thusfar, but if I remember correctly the Redskins did not have 9 points on the board when Brunell came into the game. So he did not "preserve a win", he was the QB on the field when the winning points showed up.
Look, football is a team game so neither QB won the Bears' game by himself - nor will any one player lose many games by himself. But if "winning is what matters" - and you know that I fundamentally believe that it is - then in 2005, Mark Brunell is more about winning than Patrick Ramsey is. That was not the case in 2004 to be sure, but then again, it is 2005...
Oh, and by the way, unless Patrick Ramsey goes AWOL - which would REALLY make him desirable on the trade/free agent market

- he is not going to be traded anywhere this year. He can demand or not demand to be traded; he's here for the season.