In northern MI, IMO there is a "lull" such that I don't hunt much or at all from about October 8 until starting up again about October 24. The deer don't disappear, but change their habits quite a bit. I hunt mostly near bedding areas, and even there they feel pressured a bit. I've seen it for 30+ years in the same spots.
I've observed this at some length. I noted this same "lull" when following deer around rotating food sources all thru October, back when I wanted to do that. They basically act spooked and alter their habits to avoid us messy humans more.
I believe it's pressure related. On public & some private land here, there is a rifle season "lull" a few days after the opener that is more a "freeze", purely pressure related. This occurs even if the rut is really hot & heavy. You've gotta move into deeper cover--where I am anyway--or just get lucky.
I also hunt in Canada where walking/sitting hunters are low in number, the deer there experience no "lull" or "freeze" and, depending on weather & rut activity, often become more active as the hunt progresses.
This is just my opinion, and if I didn't have the opportunity to choose my hunting periods, I'd hunt the "lull" as hard as any other time. I just like the rut and colder weather, later season hunting.