actually,USN ordered USS Saratoga just a few days after USS Forrestal was laid down.And they ordered the forth Forrestal class before USS Forrestal was launched.At that time,No one knows if the world's very first super carrier got mistake or not.
Between 1955 to 1965,USN received 8 super carriers,4 Forrestal 3 KittyHawk and 1 Enterprise.
I mean if a country feel it's under threatened,It must enlarge it's fleet as soon as possible.even the origin design really got some mistake.you can fix it on the continued ships while they were constructioning.
The Chinese political leadership must not feel very threatened, then.
It's not so appropriate to compare 003 with the procurement of the Forrestals and the Kitty Hawks because the US Navy was consistently operating 24 fleet carriers from 1958 to 1965. Carriers then were smaller, cheaper and technologically primitive compared to carriers today. USS Forrestal took 3 years from keel-laying to commissioning, USS Gerald Ford took nearly 8 years. Building all four Forrestals in one go was no big deal for the 1950s United States. But try asking the USN to build 8 carriers in 10 years today and see how they feel.
The USN also had a very firm understanding of the key technologies on the Forrestals, including the elevators (only the positioning differed from previous carriers), the armored deck, and the steam catapults. Everything was already proven for years if not decades, and it was almost impossible to have any major errors. On the other hand, 003 is China's first clean-sheet carrier design, where all the systems are untested and unproven at sea. If they order multiple ships, and something does go wrong, it will be difficult to rectify.