Your theory is beyond dumb. Carrier battlegroups are huge, their defenders are also massive as the can be ground based defence systems (depending if they have support from the coast) it’s own aircraft it launches also acts as a deterrent and defensive mechanism, then you got multiple ships that are built around the idea of protecting themselves and others through C-RAMS, missile systems and jamming abilities.

There’s a reason why aircraft carriers are still around and the fact that your pathetic mind can’t grasp the reason why is just mind bogglingly stupid.