This is one of those iconic pictures that has been part of American history for generations. I'm glad we have the technology to do these things for people that want it, but you can have too much of a good thing.
I've seen The Maltese Falcon in the original black-and-white and as a colorized version. I would much rather see the black and white version. The same goes for Casablanca.
And there's a wonderful movie that perhaps some of you have not seen called Portrait of Jenny that makes magnificent use of black-and-white imagery that would not stand out if colorized. In fact, the film is one of the first that started using color, but only in the last few frames of the movie, and that is done to stunning effect.