The colorizing makes it easier for the eyes to distinguish and thus easier for people to identify the person and their clothing since it’s more realistic, and more color also enables more enhancement since you have more information to work with.
“MS Photoeditor” isn’t going to give you much of an idea of how images can be enhanced to bring out details.
The H stands out because it’s high contrast and white vs the colored star and cap. Dodging highlights (a photographic tool to brighten the lightest points) would sharply bring out the H, while you’d have to be more careful with the star and cap since the tones are closer.
So you take a B/W photo, colorize it, and suddenly you have more information to work with? The "information" you have created is the colorization and is artificial. Yes, it may be helpful to get a witness to remember something he saw or recognize someone he knows, but if you have to use "colorization" of a B/W photo to enable "enhancement", you are trying to create facts from fiction.