Not that I'm necessarily a fan of this approach, but I don't think I'd assume that growing (or coloring) your hair, adding glasses or any number of other cosmetic changes would make a difference to face recognition software. Most face recognition software is based on things like the distance between your eyes and your nose and other physical characteristics that are unlikely to be affected by anything short of serious plastic surgery or a bad accident.
In essence, face recognition software does the same thing that human brains do, which is to look for patterns that are specific to the individual who's being identified. In fact, if it's done right, it's probably less likely that a computer will be fooled by a wig or other non-surgical cosmetic changes than that a person would.
The problem, of course, remains that software is not flexible enough to make a real judgment call. All it can do is decide whether there are enough points of commonality to meet some preset standard for recognition. For that reason, and because face recognition software is harder than, say, fingerprint recognition software, I tend to agree that it's likely to slow things down rather than speeding them up. On the other hand, the software can't be bribed, and maybe that alone is reason to use it.