If I were the Jazz and I decided that I liked Dame, considering his age and current contract, I'd just go ahead and trade for him. The problem that's emerging in the league is no longer just that All NBA-caliber free agents really only want to go to LA, Miami and NY. The problem is that even All NBA-caliber players who are under contract are asking to be traded to LA, Miami and NY.
So if you're a team like the Jazz, what do you do? You draft a high-caliber young player, feature him and develop him into an All Star. You give him his second contract, and somewhere in the middle of fulfilling that contract he says he wants to be traded to a glamor market. (I'm talking about Donovan Mitchell here, rather than Dame.) If All Star and All NBA-caliber players who aren't from Europe are all going to ask to be traded to certain cities, then the only recourse for a team like the Jazz is to go ahead and trade for them whether they like it or not.
Ainge can just disregard what everyone thinks and decide he has an opportunity to trade for a perennial All Star who is under contract for the rest of his productive career. In addition, his trade market is being made artificially soft by his agent who is pushing for Miami or bust. That makes him even easier to trade for.