Nic Batum really isn't that good, and the only real plus Batum has in his favour over Love is 2 less years on the deal. But Batum has gone through a couple of coaches now, has tried being played anywhere from 2 - 4 with some stints as a small ball 5 as well with Borrego, and he could barely keep himself in the starting lineup this year... he's not worth the money he's getting over 1 year let alone 2, and he's absolutely been washed ever since the Hornets last playoff appearance. If Batum was even 80% of what he once was the Hornets would be making the playoffs every year in the East but he's a far cry from that guy. If it wasn't for his deal only being 2 more years he'd easily be top 5 worst contract in the NBA. Joe Ingles is a clearly superior player for a fraction of price as while Batum has some nice %s he more or less can't create shots for others or himself anymore as he appeared to have lost a step this year and he really struggled running the PnR, whereas at least with Ingles he can secondary playmake as well as space the floor and defend... I don't get why you would be ok with trading for Batum.
Love on the other hand turned a Cavs team that was going for the worst record in the league into a semi competent team (Cavs were +7.8 per 100 better with him on the floor as the #1 option) and he would absolutely change the game for the Jazz in giving Mitchell a reliable 2nd option floor spacing 4 who can run pick and pops with and have Gobert on the roll in potential 3 man actions as one example. I don't really want the Jazz to get Love because of the injury concerns, but he's pretty clearly a better player than Batum and he's still a better option even when contracts are factored in.