I did some recordings with my UM57 yesterday. I still like it much more with the 47u cathode bypass cap, it also appears to be a bit lower in noise. I also did comparisons to my U47 (which is K47 equipped). The U47 has thicker bass response, and more presence, it sounds closer to the source and more "real". The UM57 sounds nice, but you never get that "unmediated" feel I get from my U47. That said, the UM57 is very usable in the mix now.
Regarding the UM57/CMV circuit: It is interesting and may be worth some experimentation. But if I were to build something based on this design, I'd make some changes. For one, I would impelment a filter stage for the rear diaphragm polarization within the mic. The original schematic only has a filter stage in the PSU, and the pattern selector pin goes directly to the rear diaphragm. Increasing R1 may also be a good idea to get a bit more bass response. I would also think about different tubes. And, as Zebra has shown, it's worth experimenting with the transformer hook-up etc.