My knowledge comes from immigration lawyers, sponsoring companies, and H-1B holders themselves, all of which spend tens of thousands of dollars on these things. They would have had to miss something, which I doubt, so it's a bit presumptuous of you to say it is incorrect. I am talking about the re-stamping process in which you are able to leave the U.S. and come back, so maybe I used the wrong words. As far as I understand, if you never do this stamping process, you can just stay in the U.S., never leaving while your H-1B remains valid.
The process is so overly complicated, it's hard to track. I am not aware of any process in which you can re-stamp an H-1B inside the U.S. You meed to do an in-person interview, and these are done at U.S. Consulates and Embassies, none of which are inside the U.S.
Of course, it's difficult to quickly find the information on the official U.S. websites, but here are sites that explain it.
http://www.greencardapply.com/question/question17/H1B_Visa_S...
https://www.h1base.com/visa/work/h1b%20visa%20stamping/ref/1...