I think the contract demands and the situation in general would make it a lot more difficult than anticipated to move Swayman at this point. Which would effectively cut into his "value" pretty substantially.
And really, i think the Bruins have pretty much made their bed with Swayman. He holds heaps of leverage from the fact that they've already made their decision and dealt Ullmark away. They really can't afford to trade Swayman too. So he may sort of have them over a barrel when it comes to those contract demands...but they really don't have any other viable option. Korpisalo isn't a guy you want to rely on. I'm not sure there's really any situations out there where you'd have teams on the eve of the season, ready to flip their own decent starting goalie for a much more expensive one in Swayman - as good as he may be.
I think a lot of teams have also already addressed their goaltending situations, or at least believe that they've addressed it. Optimism abounds at this time of year.
The only teams that don't at least seem to have a "settled" goaltending situation, or made moves that they're obviously optimistic about, are roughly:
-Detroit - but they also already have a crowded goalie crease. They'd be the only landing spot that i could see making that big splash right now...and likely has the cap space and the trade chips to get it done.
-Pittsburgh - possibly, but Jarry and his contract would have to go back so you're not saving much on a bigtime downgrade and they don't really have the other capital to move that would help Boston at all. Also kind of untenable cap-wise.
-Philly - though they also may just be fine trying to figure out if their own young guys have it or not.
-Chicago - but i don't think they're really in the right phase of a rebuild to splurge on a $10M goalie or the assets to acquire him.
-San Jose - but they're so early in their rebuild, it's ibid, the Chicago thing above. Too early to go big game hunting for a goalie when the rest of the team is still years away.
I think that's pretty much it. So...when the market shrinks that small, the "value" is kind of decimated. That's not to say Swayman wouldn't be a huge upgrade for a ton of other teams as well, but logistics eliminate them, as does that optimism about how they've more "cheaply" addressed their goaltending situations and hope it all works out.