In case anyone is wondering, I just tested it and the mixer shifts the phase by a slightly different amount (apparently slightly less) compared to the filter so I don't think the mixer can be used as a perfect offset for the filter unfortunately.
Update:
Alright, so, after a bunch of experimentation, long story short, the main filter module shifts the phase of the signal slightly more than, apparently, every other audio processing module including the formant filter, the filters on the noise module, the ring modulator, and the mixer output. What that means is, to compensate for the phase shift of a main filter module, you need to use another filter module and all the other modules can be compensated with any of the other modules.
Arturia, if you're reading this, if you could somehow streamline or remove these phase shifts entirely from the VST, that would go quite a long way to simplify things.