I wouldn't hardly call their rebuild 'almost perfect'.
Frankly, I think they really misplayed their international market, they basically used up and went into the penalty for one high-profile signing; the Braves also went into the penalty but added seven high-profile signings. Massive difference in how that played out.
No one should be judging a rebuild until the fruits of it ripen. I don't think the White Sox have done particularly better than the Braves have so far.