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.
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.
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.
It is safe to say the pro and contra of conventional/nuclear revolving around the tactical/strategical usage of carriers, and the risk associated with the given usages.
It is correct to say the conventional carrier can run for a week with cruise speed , but can only run for less than 24 hours with full speed.
(if we consider similar range /cruise speed for the carrier like for the Burke destroyers )
So, if the carrier loose one replenishment ,due to any reason then it can't sustain its top speed , and can become sitting duck . Example.
Of course top speed means every submarine getting its coordinates in 1000 km range .
If the USA has a carrier based in Okinawa, and loose its base then a conventional one will have hard time to get back to America.
A nuclear powered will be able to outrun every other ship .
I don't know what purpose is in the mind of the Chinese designers, and what data they have about the operational requirements.