I think it's difficult to gauge.
If you're talking about a straight-up 1-for-1 deal of Gibson for Georgiev with no retention and their contracts being the way they are, before the season started, I think the Ducks would have done it to save that cap space and real money.
Considering that they would have been trading a goalie with a below .900 SV% for the past 2 years (and around .900 SV% for the past 5 years) and getting out from under that contract and getting a goalie who led the league in wins the past 2 years on an expiring contract.
However, because of the start that both Georgiev has had and the start that Gibson has had and the obvious desperation that the Avs have, I personally don't believe that kind of offer would be on the table. I think the Ducks would want at least a 2nd round pick and potentially a decent prospect thrown into that deal and I'm not really sure they want to retain on Gibson either.
So I think the retention becomes the issue. Finding another team that actually can and wants to retain for 2.5 years is going to be a challenge. The Sharks would probably do it but can't (they are retaining on Burns, Karlsson and Hertl), Utah aren't the Coyotes anymore and probably want to shed that reputation. Chicago makes sense as they are unlikely to need that cap space between now and then but it would take something decent to retain for longer than the current season.
For all those reasons, a deal for Gibson is more complicated than a straight up trade for Blackwood, Mrazek of VeggieMelta unless the Avs make some other trades and take Gibson on at his full $6.4M contract and I'm not sure I see them doing that.