Not sure what you mean. You claim China is not close to American carrier output speed in the 90s but you admit China is capable of launching carriers of similar displacement in 1.5 years, while the Americans took 3 years according to you.
So China's speed from this carrier being laid down to being launched is actually double the speed of American output in the 90s. If it was laid down in July-August 2020 and is going to be launched in say January-Feb 2022 (a reasonable date imo) then that's roughly 1.5 years.
It's not necessarily that simple, because the construction of 003 and US carriers in the 90s and onwards use slightly different methods and also had slightly different confounding factors.
For 003, the super modules for most of its hull were fabricated at the eastern site on the island (first visible in mid/late 2018 from what I recall), before being moved to the drydock where it is now mid 2020.
On the other hand, for carriers built by the US, the construction of the ship either in terms of laying the initial keel, or fabricating the initial modules (much smaller in size than 003's super modules), were done directly in the drydock to begin with.
So comparing when the initial parts of the hull of 003 and various US carriers were first "laid down" in their respective drydocks is not a fair way to measure the actual amount of work and time spent on the respective carriers, because the method that 003 was constructed only involved the drydock once a substantial amount of the hull's super modules were basically complete, while the US carriers were put immediately into their drydock from the outset.
Given the variation of carrier construction techniques that exist for different carriers (003, vs 002, vs US carriers, vs UK QE class), the fairest way of measuring time is to measure the time taken from initial "steel cutting" (that is done when the first steel is cut for a ship, regardless of whether it is a traditional keel laying, or whether it is for fabrication of small modules, or for fabrication of super modules) -- to launch.
A Nimitz class built in the 1990s (say USS Truman), had its keel laid initially in November 1993 but I'm unable to find when the first steel was cut (or if it was part of the same ceremony).
In the case of 003, we saw the initial modules of it in mid/late 2018, so chances are the first steel was cut a year or so before it.
.... but at the same time, 003 would have been affected/delayed by factors outside of the shipyard's control -- namely the PLAN's deliberations about wanting the ship to be redesigned from steam catapults to EM catapults, which likely put a pause on things at some stages of 003's construction as well.
So there are basically two takeaway points:
1. If we want a "fair" measure of time of work taken from initial work to launch of a carrier (or indeed, any ship at all), starting from "initial steel cutting" to "launch" is probably the fairest way of doing so (assuming of course the launch of the ship is relatively completely like in Chinese, US, UK, European practice and not the Indian way in which the INS Vikrant was launched initially). This is because "keel laying" in the drydock these days doesn't account for substantial amounts of work done
outside and before the initial modules are put in the drydock.
2. For 003 specifically, we cannot do a fair measurement of the true amount of time that the shipyard would've taken to complete its work, because this 003 carrier we see would've been affected by the PLAN's deliberations in catapult decision making from steam to EM catapults, and the likely inevitable pauses and delays it would've imposed as the ship would've been redesigned -- factors outside of the shipyard's control. Therefore, if we want to truly measure how fast a 003 pattern carrier can be built, we will likely have to wait for JNCX (and/or DL) to build another 003 pattern carrier sometime in the future when the construction of said future 003 pattern carrier won't be affected by PLAN deliberations and redesign delays.