Regardless of who legally owns the commercial rights to F1, Bernie is is still in charge of how and where you see it.
Remember though that the FIA controls what F1 IS, not Bernie. Bernie doesn't set the regulations, test the equipment or police the on track product. Bernie has a number, for everything. That much should be perfectly clear to anyone that has ever followed F1. How much of that number goes to BE and how much goes to CVC is another matter, but guaranteed, Bernie will see his number or F1 will move on.