No, it can't hurt. However a picture of the hidden VIN (for example) could be taken of the original car, and included with the documentation for the car. Chances of somebody pulling the heater box to verify it prior to purchase are slim. There is nothing that can not be faked. That includes paperwork, stampings, hidden VIN's etc. A paper trail, good documentation, inspection by an expert will all reduce the chances of fraud. It can still happen.
I am very thankful for the expertise, and resources on this site. I am also feeling better and better about only having a plain old 307 glide. Nobody is going out of their way to fake those. At least not yet.