I would think Werner is ahead of Annunen in the pool right now.
I don't think Werner has shown he's more than an AHL goaltender yet. He had the one shutout with the Avs but then he gave up 5 his next game and looked pretty bad. He's been decent it seems in the AHL, and correct me if I'm wrong, but he hasn't been amazing or anything.
With Annunen's WJC and FEL seasons, he's shown he has more promise at this point than Werner. Werner never had a WJC or a pro season like Justus is having. I think the preferred approach for the Avs would be to let them split the starts in the AHL next year, and see who separates themselves.
I think they'd prefer to test him in the AHL before they make a decision on Grubauer and their 2021 tandem. It'd also let Parkkila and JIF work with him full time which would be a benefit because he still has issues with shots up high, and going down too early.
I'm not sure Annunen would want to leave Finland yet though. I think he'll probably want to stay another year but who knows. Maybe they make him an offer and he feels he's ready.