Why the timing is the whole point
This isn't a generic "do it sometime in fall" recommendation -- there's a specific mechanism behind the date. Rodents seek winter shelter inside buildings following the first cold spell each fall, which means the trigger for indoor migration is a weather event, not a calendar date on its own. Manchester's frost risk begins around October 4 and becomes nearly certain by October 29, so an inspection done in late September through mid-October happens before that trigger, while gaps are still easy to find and no rodent yet has a behavioral reason to be searching for one.
An inspection done after the first hard frost has already passed is inspecting after the trigger has fired -- which can still find and close gaps, but it's addressing a home that may already have new occupants rather than preventing them from arriving in the first place.

