I did a few experiments with using a +-60V supply in a microphone with a discrete op-amp with FET devices (essentially one of Sam Groener's designs, with high(er) voltage NPN and PNP devices that could tolerate the 120V environment). It seemed to work well, with the only notable advantages I found being:
1) No need to do any voltage conversion in the microphone itself for the PSU rails.
2) Simple patterns as per the original poster.
3) I think perhaps noise was less, provided the two rails were clean (easy to do with separate PSU).
4) If trimmed for no DC offset, no need for coupling capacitor.
5) Since the op-amp could drive +-20mA without impacting the polarization voltage(s), no output transformer needed (just impedance balanced output).
While a "success", it's wasn't night and day different from the myriad other circuits that used phantom power. However I still use that microphone for testing new capsules, as the circuit is pretty ruler flat, with no emphasis or de-emphasis, so the differences between capsules are more obvious than with transformer coupled circuits.