Joe Sakic isn't going to pay more than 5 million dollars for a goalie. His modus operndi is all you need is average goaltending if your defense and system is good.
Grubauer had a 30-9-1 season with 7 shutouts and wanted 5.5 million to stay and Sakic let him walk. Traded for a cost controlled goalie on a bad team
Kuemper won the cup with them and went 37-12-4 with 5 shutouts and wanted just over 5 million a year to stay. Sakic let him walk. Traded for new York's Backup goalie and made him a starter and signed him to a cheap deal.
Georgiev is going to want a raise after a 40 win and 38 win season. He will be allowed to walk. And Sakic will sign or trade for a cheap backup to platoon with Annunen, while probably extending Annunen for 3 or 4 years as cheaply as he can if he performs this year.
There is no universe where I see Sakic trading for a goalie he needs to pay 12+ million for.
Except that isn't exactly true.
Sakic reportedly offered Grubauer $5.5m per year for 5 years, but Grubauer opted to sign a 6 year deal at the same cap hit with Seattle instead. This is what led the Avs to overpaying for Kuemper in the trade, as he was the only semi-capable guy with starter potential who was available.
Kuemper's season in Colorado was only his second career season playing more than 31 games. And he was trash in the playoffs, even before he got poked in the eye with a stick. And, he was already 32, which is right about when most goalies start to fall off (which he did). And he wanted a bigger money, long term contract. Sakic letting him walk was the only right choice in that situation, even before you look at the Avs cap situation.
And Georgiev should absolutely be allowed to walk. His wins are a function of playing behind that team much more than his play, and it seems pretty obvious that giving him a raise would be a serious mistake. And if Annunen doesn't step up this season, next season could see another short term deal for a backup with starter potential. Or maybe Nabokov gets a shot at it, assuming he comes over.
Whatever ends up happening, I'm pretty sure you're right that it won't involve a $12m goalie in Colorado.