Firstly, I don't believe Quebec should ever field a team separate from Canada under any circumstances.
Secondly, I decided to make up a fake roster for 2022 Beijing if they were ever allowed to do so.
Huberdeau-Bergeron-Mantha
Marchessault-Dubois-Gourde
Drouin-Danault-Perron
Duclair-Beauvillier-Chiasson
Paquette
Chabot-Letang
Girard-Savard
Vlasic-Scandella
Fleury
Crawford
This team is...not that great, and both goalies will be 36 in time for Beijing. The other goalie options? Domingue, Montembeault, and Bernier.
Quebec simply does not produce the number and quality of players that it used to relative to the rest of the world, so their teams will only become less and less competitive on the world stage as time goes on. I suppose winning wouldn't matter as much as physically having a team would, though.
I think i'd take BC over them:
Kane-Nugent-Hopkins-Reinhart
Benn-Johansen-Connolly
Kerfoot-Barzal-Virtanen
Khaira-Sissons-Turris
Brouwer
Rielly-Barrie
Theodore-Weber
Stecher-Benn
Price
Broissoit