I think if Type 003 AC goes to nuclear, it's a bonus.
Even if her goes to Conventionally powered it will be more than enough. With EMALS & Nimitz size a.k.a Super Carrier. That's already a huge leap for China's AC Power Projection
Because China have Fast Supply Ships to handle that (Type 901 class)
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And I believe, the first four of China's Aircraft Carrier will be focused to protect Western Pacific & Hindian Ocean region from cowboy. That's enough for any Conventionally powered AC
Beside Fast Supply Ship (Type 901) ready to deploy, China have Naval Base in Djibouti and also have many friendly countries that would be happy to have China's Carrier Battle Group refuelling in their ports (like Pakistan, Iran, Srilanka, Bangladesh, Kenya, Tanzania, Seychelles, etc).
But yes, I would be happier if Type 003 AC goes to nuclear