A couple of assumptions here that may not be valid so the question could also be flawed.
All leaves on a tree are contributing to energy stores all year so I do not believe that trimming must stop at any point to provide winter stores as they are being laid in all summer.
Late trimming can push a flush of new growth when the tree should be going dormant. Those late shoots can then be frosted but should not be a problem long term but I do not have experience with il. cold so not sure. The worst I get is late shoots may not drop leaves for winter but winter here is not cold enough so leaves persist right through to spring when new growth starts and cycles return to normal.
Hopefully someone more local can advise on trimming cut off times for your climate.
I am also curious about the answer to
@Rod's question pertaining to cold climates. Their area gets a lot colder than mine in the winter, but right now temps are close to the same.
I do have one data point from my experience. Almost exactly one year ago, I bought a big trident from a landscape nursery and chopped it to a stump. Sometime in late September, it threw a sprout from below the chop that grew vigorously for a month, then it froze and just...withered. Late this spring, just before I about tossed the tree, it started to grow and currently has about three feet of growth.
Some observations on this *little* experiment. By mid-August, the tree had stored away pretty impressive energy reserves. By chopping it, I completely stopped all photosynthesis
and prompted a growth response. The tree expended some amount of energy activating and breaking growth from an adventitious bud, leaving a reduced amount (X-Y) of energy in the wood/roots. But frost killing the new growth did not kill the tree, meaning it was probably still able to compartmentalize the damage and enter dormancy notwithstanding total removal of leaves and apical buds. This is an extreme example, and I would not put money on any tree withstanding similar treatment year over year. Take it for what it's worth.
I have some notes that say you can push a tree to set more buds by pruning in "early fall" whatever that means. I didn't take down the source. For
@Rod, I am guessing early fall is right about now. Hopefully someone who knows better will chime in.