The issue with carriers is they want to carry as much jet fuel, supplies, and munitions as possible to minimize the amount of refining and resupplying they need to continue operating. Plus space for their crew, aircraft storage and repair etc. On top of this they need vast amounts of electrical power for internal operations and the ~6,000 personnel onboard.

It’s so bad the Navy is seriously looking into generating jet fuel onboard via Nuclear power. Even if it’s not cost effective it would be a huge logistics benefit.