The thing with Georgiev is that it is far from a guarantee that his value increase. Given this inconsistent nature, and the small sample size associated with being a backup goalie, I can absolutely envision a scenario where his overall numbers at the end of the year are poor because of the small sample and a handful of dreadful starts. I'm not sure there is a ton of room to substantially increase his value, however I think there is more room for his value to drop. A bad season turns him into a 25-year-old career backup, approaching UFA, who has yet to show he is capable of playing consistently or being a full time starter.
I think it's important for the team to maximize his value, and I'm not sure if there's going to be a better time than now, particularly given the realities of the flat cap and all that. It would be a gamble to hold onto him and bank on his value increasing, or at least holding steady.
If it's me, I'm moving Georgiev for the best I can get, signing a 4A guy for two years to expose in the draft, and hoping that in two years someone like Wall or Huska is ready to step in (and if they aren't, acquiring a better backup for cheap).*
*Predicated on Lundqvist being willing to be a backup. If not, that changes the game completely.