Not sure what you mean by totally verified by schools. If you mean totally complete file at school (primary, secondary, MCAT, LOR) that can happen as early as July 1st. Since some schools send out secondaries via contact info only when you submit AMCAS (prior to verification), some applicants get the secondary filled out and returned to the school before primary is transmitted. While SDN has moved the concept of submitting early to one of obsessive-paranoia that not being there on day one means almost certain disaster, it is best to refresh the timeline reality
(2017 timeline refresh posting #3)
AMCAS doesnt start transmitting until July 1st (though some schools have secondaries sent to contact info upon submission to AMCAS)
Most Primary Apps are transmitted early July thru late August
Most adcoms dont start meeting for review until at least mid-August, more likely September (though adcom staff may be doing early reviews).
Submitting Primary Application June is Early, July Medium, August Late
Having Primary verified and transmitted to school by end of August is normal speed
Having Secondary and all LORs complete to school by end of September is normal speed, by end of October is about late.
Getting primary in early does matter because of all the other items that follow it. But applicants often see the beginning and not understanding how it flows from there. Additionally, how each school then opens a file, reviews them on GPA, MCAT, and other factors, and what order they wind up in a queue has less to do with when the primary arrives then when the secondary is completed and received. Since the majority of schools, I dare say, send out pre-transmission, unscreened, or minimal cut off screened secondaries, this is probably a larger factor in where you wind up in the queue for 1) reading an application and 2) decision on interview invite. As I have said previously, and will undoubtedly say dozens of time during this 2017 application cycle, (#3) review of apps is not simply done in a linear chronological order. High achievers, URM, family of alumni, feeder schools, associated UG programs, linked postbaccs, and other factor may push an app forward in the process.