Seattle, Buffalo, Detroit, Montreal and Columbus are all teams I suspect want to add goaltending help.
Same goes for Anaheim if they trade Gibson, Winnipeg if they trade Hellebuyck and Philly after they trade Hart, although obviously trading them will scratch some names off the list of teams above.
There are rumours that Edmonton and Toronto are sniffing around Hart, but I doubt they make any changes to their goaltending duos.
As for your point about desirable destinations and open starter spots, it's obviously the case that Ottawa is not an ideal destination for most players and is on most player's NTCs. It's also debatable whether we have an open spot for a starter, as I'm sure any goalie we add will be splitting starts in a 1A/1B format with Forsberg.