I think the reverse is true -- CX would probably block PR's entry into OW as CX would lose market share to PR. For decades now, the Philippine market has been a major feeder market for CX long-haul flights. (Over 10,000 MP Club members; more than 50% of pax on flights MNL-HKG are transit, I've been told, at least about five years ago.)

I for one would welcome a choice, after all these years with CX, sometimes because they were the only convenient link to Europe/S Africa, NYC etc. Now with new planes, new management, new routes to JFK, YYZ etc....PR is looking promising, finally!