I was probably in error using the word "Deluxe" as it isn't used by Mauser themselves.

What I mean is that there are features that could be had that are different than the standard TypeB.
Barrel styles, sights, checkering, etc. could all be specified when ordered.
There are 16 factory variations for the TypeB and occasionally you run across rifles which don't fit into any of those listed variations.

I have a TypeB in transit now that has some of these options - set trigger, checkered forend, horn forend tip and very nice wood. Not built to the specs of one of the "standard" variations though.
I haven't found in the Mauser references if special wood could be specified but I sure have seen some Mausers with exceptional wood and others of the same era with very plain wood.