True but then carriers are VERY vulnerable approaching a heavily defended coastline. If things had gone a little differently for Doolitles Raid the USN would have had 1 or 2 carriers disabled far from the nearest support base. It was an audacious move that had strategic benefits all out of proportion to the size of the raid, but the risk was also huge.
Carriers are fragile. They can be put out of action (flight operations) rather easily.
You are kidding right? Carriers are tough SOBs. Even target ones are almost impossible to put under. They are huge honey combs of watertight compartments.