We extend to you a cordial "WELCOME ABOARD !" Come on in, make yourself at home, we are a friendly group of enthusiasts, and we also appreciate the classic Chris Craft Roamer, Corsair, and Lancer boats too , as they are all on the same family tree and share much in common !
Excellent reference photos, and excellent comment about the ID number lightly cast into the nose piece too. The numbers in your photo do not appear to be factory installed numbers, however, as they appear to be the sort of numbers that are owner-applied stick on numbers, as available at boating outlet stores. Those numbers may have been applied by a dealer, a shipping agent, or the previous owner, and may have been applied before the boat left the USA. The number you identify looks authentic, but I do not think CC identified their boats in the manner you are showing. Factory numbers are generally embossed into a piece of wood, located in at least two places on board, and of course on the brass ID plaque as well.
Those ID plaques are often lost due to becoming a memento of the previous owner somewhere along the line, and they're often found in antique stores being sold as conversation pieces. They are still available, however, and you can even get your authentic ID number embossed in them just like it came from the factory.
The only location I ever saw my ID number is on the plaque. On previous Chris Crafts I have owned, I have seen the embossed numbers at various places in the hull, different locations depending on the model and year.