Financially it makes virtually no difference. This isn't a "White Sox being cheap" move. Its a White Sox trying to maximize the control of a potentially elite major league player move. I have no doubt that if the Sox were actually in the race for something this year, Robert would be in CF right now. But they aren't, and so we wait until mid May 2020.
But this discussion has been beaten to death, so I am just going to stop commenting on it.