just speculating...
Tomlin wouldn't want to go to Chicago for every reason listed above. He'd inherit a team with a lot of work to be done. His best bet would be a team that has championship talent in place already. Looking around the league, there's not a lot of places where he'd be able to step in and find that.
Dallas has a franchise WR, a decent to bad QB and no run game. Defense is decent, but... facing the Eagles and Redskins twice per year isnt ideal. Add in that Jerry Jones meddles in the team on a daily basis, so there's oversight there. heavy-handed oversight.
Carolina has a QB they drafted first overall who showed some glimpse of that talent late, but ... not much else. Expectations wouldn't be too lofty immediately as the team has a lot of holes to fill.
Chicago. Turned down already.
New Orleans is in a state of flux. Carr is on the decline, Kamara is on his last legs and there's no talent to work with. Hard pass if you're Tomlin.
Jacksonville has a "franchise" QB, that Tomlin wouldn't be able to turn into a franchise QB, a decent run game with two or three RBs, a damn good rookie WR and a decent defense. They face Indy, Tennessee and Houston on a regular basis, which is quite a step down from the AFC North. Still... not a lot to work with but likely one of the best teams to move on to.
Las Vegas. Raiders would love to poach Tomlin to go with a young team with zero direction. But, for Tomlin, there's no QB, no RB, no WR and a decent defense. I don't see this happeninng, but Tomlin would likely have as much leeway to keep his job as he does here. Maybe a little less. But, Tomlin would also face KC, Denver and the Chargers twice. We know he rarely beats those teams. Hard pass, even if it's tempting.
So, unless Carolina or Jacksonville ante up... and Tomlin agrees to a trade ... we're stuck with his ineptitude for at least one more season. It might be that Tomlin was presented the offer to go to Chicago and declined it. Could be the same with the other "multiple teams" who called.
Indy, the Giants and Titans might be willing to trade for him next year.