Seeing as how this is likely Trevor Bauer and he is likely to make some YouTube video about going to various fan forums and making posts like this, here are some reasons:
1) From the fans perspective, the team appears to have a lot of fun playing the game of baseball.
2) I would hope that any offers received from CWS are offers that are fair and reasonable to you. If so, that is a reason.
3) Hungry, "prove it" fanbase. We will come watch you if you don't waste our time.
4) Collaboration vids with TA7
5) Chicago is a cool city, obviously a lot of good food.
6) You already know this, but The Rate is actually a really cool/nice park and massively underrated due to how crappy it looked when it was first built and because it's in the same city as Wrigley.
7) Division is competitive, even if Twins make no upgrades they will STILL be a pain. Us fans are licking our chops to keep them in 2nd/3rd place. You would be a great help to this.
😎 As annoying as Minnesota and Cleveland might be, the road to divisional victory is not insanely competitive and you can expect to make the playoffs in some fashion because the team around you is pretty good too.
9) Chance to stick it to your old team (if that is something that interests you)
10) If you sign here, we can keep Nick Madrigal and Codi Heuer. I guess if you don't sign here, that doesn't even matter to you. But if you do sign here, it is likely that the bullpen is better and that you have a 2B hitting .360 in your teams lineup.
11) This is a cool one.... a chance to help the White Sox earn a fairer share of Chicago baseball fanship. The Cubs have dominated this town for a long time, but now they are alienating their fanbase. You will never "convert" Cubs fans to Sox fans, but there are always generations of new fans to earn. Win a few generations and all of a sudden it's a Sox city again. Obviously, you won't be around long enough to win a few generations, but you can help get that ball rolling.
(If you are not Trevor Bauer, well played)