We can look at the AL Central standings and see that the Sox are only 3 GB of Minnesota and think this team is still better than 50/50 to win the AL Central.
Doesn't matter. Here are the real standings the Sox should care about:
Yankees +3.5
Astros ---
Sox -5.5
Sox are 5.5 games out of the 2nd seed. That's where they need to get to have a realistic chance of advancing even as far as the ALCS. Winning the division and getting the 3rd seed lands you in the Wild Card round against TOR, TB or LA, and if you survive that you get a DS rematch with Houston, again without home field advantage. It's a death sentence.
Cease/Giolito/Kopech/Lynn/Cueto might end up as the best rotation in the AL. Kelly and Graveman might get back on track and make the bullpen lethal. But if the offense doesn't get it together and get it together quickly, the chance to catch the Astros could be gone by the end of June.
The Sox have four players with a WRC+ over 100, and one of those is Mendick, and I wouldn't bother trading prospects for rentals if catching Houston isn't realistic.