No, this does not explain any dormant-times. See chapter 20: While Quirrell shows Harry the sphere of stars, he is not in zombie mode; he talks to Harry and even notices Dumbledore's imminent arrival.

Note though, that this doesn't not rule out the hypothesis of him visiting his Horcruxes during zombie mode – for all we know, there might be another mechanism one could use to check on one's Horcruxes.