I agree.
In the short term as in now and the next 15 years I believe CVN's are totally unnecessary.
However...
The Americans were the first to invent nuclear marine propulsion. Despite over 70 years of R&D the Americans have never figured out how to make nuclear power "cheap". Call me crazy but I believe the Chinese will ultimately figure out a way to make nuclear power "cheap". No, I don't mean we'll be driving nuclear powered cars in the future. I do believe in the future the PLA-Navy will basically become a nuclear powered navy, meaning every ship that weighs more than 10,000 tons will be nuclear powered. There will also be nuclear powered commercial ships.
Some people believe nuclear power is inherently flawed. I disagree. The reason nuclear power never became cheap is because it was never mass produced. If something is manufactured at a rate of 1 unit per year then it will always be expensive, regardless of what it is. A coal fired power plant, a diesel engine, or a jet engine would be expensive if it was built like that. If nuclear reactors can be consistently built at a rate of say 10 per year then that would change the cost equation. If 50 per year can be built that would create an energy revolution. I believe the Chinese will do this, in the future.