The FC-31 was an internal demonstrator program for new prototyping technologies to design a new fighter aircraft.
It seems it got them a contract to develop a naval fighter for the PLANAF i.e. the mythical J-35 but there are next to no official news about it.
There were rumors of attempted export sales of the original demonstrator (to either a Gulf Petrostate or Pakistan) but it seemingly went nowhere. Not a lot of external countries interested in funding a new aircraft from scratch.
The only pictures we have of the demonstrator prototypes show an aircraft with a landing gear which is clearly too weak for a regular catapult. It also doesn't seem to have a tailhook assembly or folding wings or anything like that. The naval aircraft, if it does happen, should be a new and supposedly larger design based on technology developed with this program.
I think your description is all a bit more tentative than where we really should be.
I think the J-35/J-XY/FC-31 derived 5th gen carrierborne fighter by now in late 2020 is no longer "mythical".
I would argue by now, we are just awaiting for it to emerge in the next year or so, in the same way how in late 2008 we were all expecting J-20 (then known as J-XX) to emerge in the next couple of years as well.
I would describe the J-35/J-XY/FC-31 derived 5th gen carrierborne fighter right now to be classed as "virtually confirmed".