I'm not so sure about that, the whole point of a demonstration module is to demonstrate the shipyard could build what the designers designed. Otherwise what's the point in building the module at all?
It would not have been some random design they pulled off the internet, but rather a section from an actual design proposed to the navy, and this demonstration module would have been part of the bidding process, to convince the navy that the shipyard could actually deliver on the design they proposed.
The odd thing is the Jiangnan module seems to have a much shallower hanger deck, being only two decks deep, whereas the Dalian design is 3 decks deep.
The decks of the Jiangnan module would need to be 3m in height (which is a bit more than typical for a warship I believe) in order for the hanger to be high enough for the 5.93m J15, and even then its a very tight squeeze!
That makes me believe the Jiangnan module isn't a carrier test module, or at least not for a carrier able to handle J15s.
In all likelihood, I would say that test module is for an LHD rather than full carrier.
If that is the case, I may need to revise my long-held view that the PLAN would start the construction of a second, different carrier design at Jiangnan shortly after, or during the construction of 001A at Dalian.
I believe that the JN demo module was entirely meant to be a smaller sized module that is deliberately not meant to imitate a full scale carrier module, but rather demonstrate possibly production techniques in the form of a sub-scale example. In other words, I believe they were not showcasing the design of a true carrier module, but rather an "abridged" design intended to showcase certain features on a smaller scale, while also demonstrating their ability to produce a module of a certain simulated small scale.
It was very obvious from the beginning that JN's demo module was not full sized, and its configuration and overall design makes no more sense if it were for a LHA compared to if it were for a carrier, apart from the slight possible trench in the flight deck which may indicate the intended simulation for the presence of a catapult. More importantly, we have no rumours of JN intending to construct any LHA or LHD, but all rumours still point to it constructing 002. When we take all the noise together along with what we see, I think we get a good sense of what may be actually happening.
In short -- Dalian is currently building a carrier, whereas I believe what Jiangnan built was a 1/2 to 2/3 sized module of what a real carrier module would look like.
It's also worth remembering that Dalian is also said to have built their own demo module a while back, in the form of an abridged ski jump module that we've seen at the shipyard in a few photos now and then in the last few years, and from what we've seen, it is also obvious that it is not meant to be part of a real carrier module anymore than Jiangnan's is.
To me, it makes perfect sense for the Chinese Navy to want Dalian and Jiangnan to both produce a demo module to demonstrate the ability to construct a simulated module that is partially representative of an actual carrier module, prior to actually starting work.