How do you know that "he doesn't want to be on a small market team"? There is no way anyone can say he does or doesn't.
Kyle and Donovan have become really close, Kuzma went to the ESPYS to support Donovan and Kuzma even worked out with Mitchell IN the Lakers practice facility. Hell, Kuzma went to the UofU so he obviously knows SLC.
As for the Jazz having nothing to trade for him? I'ld happily give the Lakers 2 first rounders for him, the Lakers could use them to try to get Anthony Davis this offseason. As far as talent? The Lakers could use Joe Ingles, but Joe is a Jazz lifer, no deal.