I'm sorry but I've never seen or handled a Nihonto that had the features that you claim. The "grind" goes all the way from the mune (in case of hira zukuri) or the shinogi (other styles) to the edge, no secondary bevel exists (which is why the edge is developed in polishing, not just stropped later). Also, I nor any other enthusiasts/collectors I've talked to in recent times have ever seen a hollow-ground Nihonto, or one with a secondary bevel. The only Japanese blades other than knives that I've seen with secondary bevels are low-quality mass-produced WW2 pieces, which are not considered Nihonto. Some of the mass-produced stuff in China also has hollow-ground blades and some with secondary bevels, but again that doesn't approach Nihonto, which I think was the focus of the thread. Another source may be what is sometimes advertised as iaito that come from the manufacturer with a mild edge and leaves it to the user to sharpen it him/herself. What comes close to looking like a secondary bevel is the old kiriha zukuri style, which is an archaic form on ancient pieces and only looks that way because the shinogi (ridgeline) is closer to the edge than it is to the spine.
Also, if you look at tsuba collections, you'd notice that the nakago-ana was usually not perfectly form-fitted to a sword. And, the vast majority of tsuba I've examined (I'm not a real enthusiast of tsuba, but viewing them is part of appreciating Nihonto) have not offered any evidence that they were used on swords with a hollow cross section.
If you can find any pics of a real hollow ground Nihonto or one with a secondary bevel, please post it because it would certainly be a rare and interesting find. However, I think that maybe you've received some questionable information, and the pieces you've seen may have been incorrectly identified.
(oh, if you want to browse through some swords, you can look at Aoi Art, they normally have a nice variety. By no means is it comprehensive to all time periods, but it's nice to visit, and they've always got nice pics.
http://www.aoi-art.ab.psiweb.com)