No it's not. Because a Marine can be replaced. The cost of replacing a carrier, its air wings and 5000 personnel is kinda prohibitive - they take over a decade to design and build. If the Navy starts to fear it could lose a carrier, it'll move them away from the field of battle making them worthless as force projection.
You are not asking the right questions. The question isn’t how to replace a sunk carrier. Carriers are almost impossible to sink. What you should be asking is how long to get the damaged carrier to dry dock and is there the shipyard capacity and trained shipwrights to effect fast repairs. This is how real naval tacticians think and not armchair admirals.