Why?
If hornet family managed to dominate carrier decks through (rather unlucky) sequence of events - by no means it sets Standart.
On the contrary, it works only if there is no opposition, and you just try to get as much strike productivity as you can as cheap as you can.
But Chinese carriers from the very beginning start in unfavorable geography and with strongest opposition possible.
China currently operates only one fixed wing aircraft off the Liaoning, that is the standard configuration J-15! to my knowledge, China has NOT attempted to launch a J-20 off the land based ramps that they used to prepare the J-15 for the carrier, which would be a first step in considering the J-20 for Naval service aboard CV-16 or CV-17....
The J-15 is a mid-wing aircraft, center of lift and center of gravity very conveniently, (and safely) located in the optimum configuration, so when the J-15 flies off the ramp, at a very high alpha,, it is very well balanced and still has plenty of "pitch authority", positive or negative...
When you attempt to fly the J-20 off that same ramp, the canards will be very highly loaded, and due to the extremely low airspeed, they will Not have the same pitch authority that they do coming off a longer runway, to pitch the nose of that aircraft high enough to compensate for the center of lift and gravity being so far "aft"
that will also be an issue bringing the J-20 back aboard any aircraft carrier, at the slow airspeeds required, about 145 knts max "over the fence", that aft CG will still require a heavy dose of positive pitch..
so add those basics to the approx. 10% to 15% weight gain that a carrier based aircraft will "pick up", landing gearing, tail hook and mounting, folding wings, dual tire nose gear, and you have just put your aircraft into a much lower thrust to weight category? not a good combination