Clearly it goes to 180 degrees as you approach DC. This can be seen by simply doing a DC analysis of the circuit (i.e. open circuit all capacitors, and now you have an inverting comparator.)
However, every bit of theory I've read, as with chimera I'm guessing, has the phase shift starting at -90 degrees. What I'm guessing now, is that it's relative to 180 degrees, and not relative to the input phase being 0 degrees? Or to explain it another way, it's an inverting amp with -90 to 90 degree phase shift.
Would be nice to know for sure though.