Just my opinion, Cooper soon gets another offer- probably at a higher price. Apollo was a poor partner. Cooper is 4X size of Apollo. Apollo needs Cooper's credit to do the deal. That is like using Cooper's money to pay for the deal.
Cooper should have thrown it open to other bidders by saying Apollo offered $35- anybody else out there with a better offer? Probably would have gotten better higher offer from stronger buyer.
There are plenty of buyers that would qualify in France, Germany, China, USA, UK. There is no antitrust problem that would arise from a USA buyer. I would NOT be surprised to see a hedge fund buy this company for $38.