The satellites are vulnerable and will likely be the first casualties in any major conflict. Neither side can afford to build enough long range drones with powerful sensors to blanket large areas of open ocean.
Sometimes adversaries will get lucky and have the right platform in the right place at the right time, but it's hardly a sure thing. In the end it will probably come down more to timing and luck than any other factors.
You don't need to cover large areas of the open ocean. Only where you have tracked the carrier to be. You are insane if you think that hiding a carrier is feasible in 2021. Even with cold war tech the US had tracked down most USSR submarines let alone carriers.
Sometimes adversaries will get lucky and have the right platform in the right place at the right time, but it's hardly a sure thing. In the end it will probably come down more to timing and luck than any other factors.