Google the maximum range of the SS-N-22 and riddle me how a surface ship capable of carrying them will get within launch range of a CVN.
I would remind you that the Yamato heavily outclassed the aircraft carriers that sank it in both weaponry and armor, but it came up short in range.
If you are meeting an enemy in a flat barren desert, would you rather have a .30 carbine or a stub nose .44 mag revolver? I’d take the rifle all week long and twice on Sunday.
The Sovremenny DDGs can’t survive a USN airstrike, and they will be within range of airstrikes for well over 10 hours before they close within SS-N-22 range. As I said, anyone can conduct a surprise attack once, just as anyone can be murdered if the attacker acts without motive or warning, but it gets much harder after that first round.