The single engine choice was due to LM's STOVL design, not due to STOVL requirement.
Because STOVL design was the most restrictive among the three, and since all F-35 are forced to follow the same layout to share parts, then single engine becomes the only layout for all three versions.
In FC-31's case it did not have an STOVL version so its design is optimized for AF and/or Navy
While "STOVL" is much easier with a single engine, the USMC wanted a STOVL design to fit their doctrine, and their desire for the aircraft to fit their need. The USAF was also desirous of a single engine aircraft to operate in tandem with the F-22, and fill the role of the F-16 in the new Century,,, there is NO reason to dispute these facts.. Now if the Navy had wanted a twin engine aircraft, and that had been a primary requirement, the F-35 would not have been built as it is, in fact the Navy is quite happy with the F-35C, asking only that specific Naval equipment be added, for ex heavier gear, and a tale hook, and greater fuel capacity.
In order to accommodate the Marines, LockMart was able to adapt the basic design to a STOVL configuration, in order to accommodate the USN, Lockmart increased the area of the wing and horizontal stabilizers, added the hook, more fuel and folded the wings,,, now whats the problem?? it NOT the exact same airplane, the fact that the J-31 is so very similar in appearance falls back to the fact that aircraft performing a similar mission, and designed to similar mission requirements, tend to be very similar in design and appearance??
so each version is tailored to the desires of the recipient service in a very dramatic way
while I do prefer a twin engine Naval Carrier Fighter, the USN is looking for an airplane that will fulfill all their requirements, and yet be cheaper to acquire and maintain than for instance the F-14, or even the F-18 Super Hornet for that matter...
So the J-31, FC-31 are very similar in appearance to Western Aircraft and former Soviet Bloc aircraft??? I'm willing to leave it at that?? the J-31 in the V-1 version flew extremely well, and in case you hadn't noticed, appears to be fairly readily adaptable to either an Air Force or Navy role, simple as that.
The V-2 FC-31 is even more refined, no doubt reducing the radar signature and is a sign of steady progress and continuing developemental progress.
Further More! the Chinese are NOT interested in re-inventing the wheel, they have been very happy with the resurrected Varyag/Lioaning, CV-17 is almost a mirror image. J-11, J-15, and J-16, are the latest proof that they are quite happy to adapt an existing design to their needs,,,, and those Chinese Flankers are at the head of the class, same with the J-10..
The FC-31 is a "clean sheet airplane", but as most of us would do, it is similar in appearance to aircraft fulfilling a similar role,,, that's not rocket science, that's using your head and sticking with "known quantities" in order to fulfill a desire for an aircraft to fulfill those needs.