Nuclear carriers capable to cover bigger distances in shorter period of time.
There would be some benefits yes.
But nuclear carriers are limited by the speed and endurance of their accompanying escorts.
I don't see how it would be worth the additional cost for the Chinese Navy.
It could be important during wartime operation, when they have to move fast to outrun the submarines/ ships.
The top carrier speed is still limited by the amount of power transmitted through the propellers.
You size the propellors with the powerplant in any case, where nuclear or conventional.
Double the speed of a ship increase the fuel consumption eight fold.
True, but diesel fuel is cheap at 70cents per litre
The JFK carried 2.4M gallons of ship fuel. That would cost $8 Million, which is equivalent to just 3 LRASMs.
If it's wartime, the cost of that ship fuel is negligible when compared to the cost of ships, aircraft and missiles.
What matters is that a replenishment ship is always available to provide supplies.
That applies to a nuclear carrier as well.