I'm assuming J-15T and J-16 comparison, we all know Al-31F is underpowered compared to the WS-10B3(Which presumably is what WS-10H2 will be based on) hence J-15T with WS-10H2 even assuming all else is the same i.e reliability/throttle response time/electrical generation will at least have significantly better kinematic performance.
Al-31 has marginally less thrust than the latest WS-10 that J-15T will probably get, but holding all else equal the differences in capability of a J-15T using Al-31 versus a J-15T using a WS-10 is probably rather miniscule.
Taking that miniscule differences and comparing it to a standard recent batch production J-16 is not likely to be significant.
Heck, even the original question asked is rather silly to begin with -- comparing a carrierborne single seater multirole fighter with a twin seat land based multirole fighter when both would have comparable avionics and weapons suites is just picking at minutiae and the best answer is "it depends on the mission/role".
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Consider being more specific in future because adding or omitting a letter changes the entire meaning of your question.
As for comparing a J-16D and J-15D/DT -- the answer is that they are likely to be so similar that there's no major differences apart from J-16D being land based and J-15D/DT being carrierborne based on the same airframe footprint this having some minor adverse effects on its operating empty weight and/or internal fuel capacity.
Will some of shandongs/liaonings j15T be transferred to fujian after she's commissioned or is there a separate batch made superficially for the ship?
There is no reason to think the J-15Ts they have produced today or into the future will be inherently tied to one carrier or another. They should expect to be able to cross deck and deploy aboard any carrier as needed.