it doesn't seem stable. if you are using an ideal ouput cap, try putting some small series resistance to model the ESR, like 30mOhm. That will give a zero and perhaps cure the oscillation.
Did you run AC sims at both of these points? Is there any chance that the gain peaks back above 0 at some later frequency where the phase is negative? This kind of thing is called conditional stability, and often a step can push a circuit over into the other gain region, giving an oscillation in a circuit that looked to have good phase margin at the first gain=0 point.