You can’t put a guy on the 60 day IL unless they are actually seriously hurt. This hits union rules, the CBA. The white Sox would face a grievance and would lose badly, and there would probably be some pretty hefty penalties- either a big fine or a loss of a first round draft pick or something like that.
Eloy also was the guy in ‘18 who was pleading to be called up and wrote the “I’m ready” article, so they will have no problem taking the White Sox over the coals if they break rules like that.