It's also not a hard concept to disprove.
Here are the Cup winning goalies since the lockout:
Adin Hill - arguably a 4th stringer
Darcy Kuemper - not even re-signed by the team, terrible playoff run, bad in 22-23
Andrey Vasilevskiy - fair enough
Jordan Binnington - trash starter playing his way out of the league
Braden Holtby - Already wasn't a starting-caliber goalie by the time they won the Cup (.907 in the regular season that year) and hasn't been one since
Matt Murray - was never a starting goaltender in the NHL
Corey Crawford - low-key elite; this one checks out
Jonathan Quick - take out 2011-12 and he has a negative career GSAA
Tim Thomas - Valid: probably the preeminent Cup-winning goalie run of the last 30 years
Antti Niemi - LMFAO
Marc-Andre Fleury - literally one of the worst GSAA in the history of the playoffs, but hey probably a Hall of Famer!
Chris Osgood - career .905; dime a dozen goalie
J.S. Giguere - he was good
Cam Ward - he wasn't
A LOT more mediocre than good on this list, and some of it is downright bad. No Lundqvist, no Luongo, no Rask, no Rinne, no Bobrovsky, no Price.
In fact, only four names are on both this list and a list of Vezina winners. One is MAF who cracks like an egg in the post-season and one is Holtby who won the Vezina prior to his decline.
So, I don't know, do they have the best chance? Doesn't seem like it.