I would think that a better strategy would be to create a third company as a contracting agency. Then employees could be 1099 contractors. Just thinking out loud.
If you have another company which you do not own, with which you have some degree of confidence, it may be possible.
Say the Monday through Wednesday employees are hired by Company A as odd numbered employees, and the Thursday through Saturday employees are hired by Company Aas even numbered employees.
And Company B does the same in reverse.
It is hard to see how that could be done without coordination between the two companies. That could be a conspiracy in restraint of trade (certainly to restrain the trade in insurance premiums).
That would be a problem.