I might be coming into this discussion way too late and at the risk of the mods nuking me, one possible benefit for a 3-engine 6th Gen might be that China, whilst they have come a long way, still does somewhat lag when it comes to leading edge engine development. The PLAAF might not be confident in the industry to deliver a variable cycle engine in the timeframe that they want to start inducting 6th gens to the tactics development squadrons. Having 2 'performance' engines and one 'efficient' engine might be a way to get the jet to both fly very well with incredibly high efficiency over longer ranges (up to crossing most of the Pacific and back) whilst also mounting traditional high-performance jet engines to fight and maneuver well when it becomes necessary.
There are many reasons "why" a three engine configuration could make sense. I don't want to list them all, but they are mostly just permutations of "two engines insufficient thrust for airframe of the size/nature that they want".
The implication is buried a little bit -- but it would suggest they do not anticipate their engine technology to be sufficiently capable to meet the needs for a two engine design in the near future, and the deficit is so significant that the added weight of a whole other engine is seen as a better solution to their requirements, and it also implies they would likely be stuck with a three engine design as well (airframe redesign if they were able to one day have a suitable engine for a two engine design, would not be easy to do).
And if they were pursuing a three engine design with the goal of having two engines be say, lower bypass and one engine be say, higher bypass, to emulate the ability of variable cycle engines for different flight regimes, it's questionable whether they even have the suitable powerplants for that to occur let alone whether the added weight of a whole other engine is worth it either.
So yes, sure it's not non-viable for the J-XD to have three engines, but it would have such profound implications for everything about the industry and technology that they have available and where they anticipate themselves to be, and it would also be a major shift from what we expect for J-XD on the background of what little news we have had about it in the last year or so.
It would be exceptional for such a major deviation/design choice to only be revealed to us this late in the game, and so soon to its anticipated reveal.