Hi,
For me, it all depends on the temperature that you have outside.
If the temps no longer go over 12°c and 5°c at night or go lower, the trees won't start growing again.
I've started some chopping on some branches that were done with figs for this year and that were in the walkway or already growing in the neighbor's garden.
It is my take on this, that you should air the wounds for a week or two before installing the protections, or you may get mold.
Nevertheless, here, I wouldn't install protections too soon as rodents are still moving around seeking hides for the winter ... and you would be making a nice setup for them...
So I would wait until the frost has come and the beasts have settled a bit more.
Last year, a neighbor used a large (4m*4m/ 14'*14') plastic sheet to kill weeds. When he removed the sheet, that land had become rodent's central highway field.
You could see their roads at the top of the dirt as the plastic provided them some shelter ... So not a good move IMHO.
You are in Zone6, so now you could cut how you want, let the wounds air, and protect the trees before the first frosts.