[edit, Jon beat me to the post.. posting anyway]
I've never used an M930 but I do know it has a very, very low noise floor compared to even other large diaphram mics, all miniature mics with tiny .25" or smaller diaphrams will be significantly noiser than that mic, including without question a properly working 4061. The 4060 is both quieter and significantly more sensitive than the 4061, making it 'quiet enough' for most of my uses. The 'good' used 4061s which I selected out of that ebay bundle are quiet enough for loud amplified material, but not quiet enough for acoustic stuff for me.
I have one DAD6001. I haven't checked to confirm, but I suspect it may invert polarity. I also use Jon's (Niant) PFA adapters with the miniature DPAs which provide the same functionality but without the microdot input. Besides the possible polarity inversion, there is a slight signal difference of a few dB between them- using the same mic, the PFAs output a slightly hotter signal than the DAD.