To be fair, the CSBA's recent study about US Naval power have judged that they need a stealthy, long range fighter with high air to air capabilities for the near future, that F-35 and Super Hornets simply cannot do. And the USN of course has goals of replacing the Super Hornet with a new "FA-XX" as well, but that probably won't pan out as a 5th generation fighter and probably won't enter service for more than a decade, however the characteristics of such an aircraft seems to resemble more of a stealthy, large fighter than a medium weight one.
from page 93:
I think many of the demands facing the USN's carrier airwing of the future will be ones that China's future carriers will face too.
So if the Navy really is leaning towards a J-20 variant rather than FC-31, I would approve of such a decision so long as the J-20 variant is able to carry some sort of stand off strike weapon like JSM.
The range/endurance of a naval J-20 would be the primary benefit over a naval FC-31 imo.