I can't find your reference on the site. Here is what it does say:

"ClassicShaving.com can now offer honing and sharpening service for New and Used straight razors regardless of brand, size, age, when, or where purchased. We are proud to have retained the exclusive services of Mr. Lynn Abrams, known far and wide as the "Honemeister" for his ability to produce the finest shaving edge possible on virtually any razor. His many years of experience in sharpening hundreds of brands and styles of razors makes him one of the world's most knowledgable craftsman of the kind. If he can't get it sharp it can't get sharp!"

I assume your reference refers to regrinding, etc.

I would send the razors out to be honed before messing with them myself. Some razors come pretty sharp though. You can strop it, test it, and see if you want to try and shave with it a little. For example, if it passes the Hanging Hair Test. But I recommend sending it out to someone. Shaving with a dull razor is dangerous.
Mailing a razor out only costs like $3 both ways, First Class so its hardly a total loss.