This seems like it should be a no-brainer. Martin Jones is the 12th highest paid goalie in the league on a team where goaltending is a massive problem. Furthermore, he's shown clear signs of decline that almost certainly can be attributed to health. His inability to push off certainly hints at an injury. His play has been poor for two years in a row. He shows occasional flashes of quality play, but he used to be very, very consistent. That said, he's only 29, 6 of the goalies above him are 3+ years older. While I'd be prepared to cut bait, given the option, it's worth seeing how Jones can perform in camp with some time off and Nabby.
Vlasic on the other hand, is the much more impactful player, but arguably has a worse contract. While I'm not sure the eye test quite matches up, some of the fancy stats Vlasic's posted, combined with six more years at $7M is terrifying. I also do think there is a decent chance that Vlasic could be moved without significant retention (or including assets). For Jones, there's no way that is true.
Also, I don't think Hasso cares about money. Shrewd businessman he surely is, but he's in it for a cup. That said, I'm not sure it'd be wise for Wilson to go to him and say, hey I've got to cut bait on a player who's 2 years into an 8 year deal. With Jones, he can say, 'injuries, goalies are tough'. That excuse doesn't hold with Vlasic.