The common refrain is that a CV's existence forces other ships to hide and not claim space. Actual gameplay bears that out as not true. Map positions are claimed in Random Battles, Ranked Battles, Clan Battles, and more.
The thing that needs to be remembered is that a common Game Design axiom is that a player or team should always have insufficient resources to cover all situations. This forces the player or players to make the best decisions they can while using the resources they have access to. While CVs add a new threat which demands a different resource use, they do not stop the game from functioning just because they add a different type of theat.