I have 5 bd from Warner that are there Diamond luxe.

The case is a hard plastic book type case.

In my profiles
2 are listed as digipak
2 are listed as digibook
1 listed as HD slim with slip (this is definitely wrong)

What should the case type b so I may correct them?

P.S.  I would love to see more in this type of case...

I agree, definitely not Digibook as there is no 'book' element. I would also say Digipak.

I only own two of them, and just enter them locally as "Custom". They're probably closer to Digipaks than anything else, but also still very different from them.

Sony released at least one as an exclusive and called it a "Magno Collectible" case. They never used the case type again that I'm aware of.

I personally don't really like them much. It's just an annoying case to open and place discs in, plus the packaging seems to have minor scratches/chips at the edges...at least with the two I bought. They're shiny and heavy, that's about what they have going for them.

Of the current options, I it's not all that different from a digipak, just made of different material and a different disc holdinf mechanism.