The BHW and BGW are identical EXCEPT the BHW has the balance shaft module and was bolted to automatics, the BGW has no balance shaft module and was bolted to manuals.
The Audi A4 got more higher output 2.0L TDI engine choices, there were even some 16v PD TDIs but not sure of all the applications.
And they *might* have gotten a model year or two that used the 038 type block in a VE format, as the Audi stuff seemed to advance a year or two ahead. The gas 4 cyl did get the newer engine in 2001 prior to the mid-2001 facelift (the change from "B5" to "B5.5") making those early 2001 1.8t cars a bit unique, different engine code too, the AUG. Audi switched in 2000.
Oddly enough, most B5s and B5.5s in Europe were 1.9L engines, though. A PD136 in 8v configuration, while available, was apparently not a very popular choice. Maybe because with the added cost and hit in fuel economy over the 1.9L engines available, they instead just went for the 2.5L V6 TDI... which actually (I have been told) was not a very good engine.
I also think that an automatic in a B5 Passat would have been for old people, disabled people, or someone who moved from the US.