Nonsense! A sub interface is a crossover, anyway you slice it.
Filters are not brick wall, so there is overlap. The point of the phasing knob is to phase the sub to the system at crossover frequency. If the sub is out of phase at crossover, there in cancellation, and a deep dip in the frequency response at crossover. It is no different to having any other speakers out of phase.
Correct phasing of ALL speakers in a set up, is a basic fundamental step to good results. In any event, phase only changes with frequency in a region in which a filter is active. That is the point, of the phasing knob, to correct the phase shift at crossover, so the drivers are reinforcing each other at crossover and not canceling each other.