You cannot pretend to know what the White Sox offseason strategy will be. They are maybe the most unpredictable front office in the game. raBBit, who clearly has as good an inside scoop on this franchise as about anyone, said they would never deal with the Cubs...then lo and behold. You argue whether they should or should not sign free agents but to assume that they wont be active in free agency is a baseless presumption. Especially with all the payroll they'll have available.
In any case, cream will rise to the top as it always does in baseball. Even teams like the Padres that are desperately trying to be as bad as possible eventually churn through their AAA roster and minor league free agents enough to eventually find something that plays major league baseball. Maybe it doesn't play major league baseball well, but they are nowhere near as bad as what the White Sox are now. For the next two months the Sox are open tryouts for the majors, anyone who gives even an inkling that they can hack it in the majors is gonna get a shot. From that point they either succeed, or they dont and someone else takes their place. This process repeats itself enough and you find major league ballplayers.