I think Kevin is right. The biologists will not be the only ones making the decision as to reopen sport hunting or not. Politics and social scientists will have as much of a say in the matter. In the last few decades Fish and Game departments have had VERY little funding and independence in Quebec. Biologists are told to do the government's bidding and keep their mouths shut. At least that's what it looks like...
Case in point, look up the other blundering f**k up that is Woodland caribou management in the province. There is about 40 years of state-sponsored and independent research which link population decline with our crappy logging practices. Apparently there is no amount of evidence, however overwhelming, that will stop the government ans its lumber baron cronies from churning caribou habitat into cardboard boxes and toilet paper.
Anyhow, if the QL herds cycle back up to the numbers they had in the 80's and 90's, I could see two most likely scenarios happening depending on the political flavour of the moment. No. 1 is having sport hunting reopen, with the obligation to go through the outfiting services of a handful of fancy lodges up there (This is the way things currently stand for salmon fishing in northern Quebec.) No. 2 is having caribou management given over to First Nations and Inuit regional government.
In both scenarios, regular Joe Blow probably can't hunt caribou in Quebec without spending his retirement.