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If China had acquired a Yak-44 airframe or some extensive material on it then I would consider that to be a sensible argument for China potentially adopting it in some form, like a modified domestic variant.
But as it is, we do not have any evidence for the Chinese aerospace industry having any extensive access to Yak-44 or E-2 or any other similar aircraft, so the only logical conclusion we can come to is that it makes sense for China to adopt an existing aircraft they have experience with (like Y-7) as the basis of a new AEW&C, or a clean sheet design, or a mixture of both. However, that does not mean China will not take cues from established and proven principles that E-2 or Yak-44 have demonstrated in the past.
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The very notion of bringing in E-2 or Yak-44 into this discussion about the fixed wing AEW&C is a bit silly to begin with. Beyond the chinese navy carrier AEW&C having the same configuration as them (which I think everyone should've expected anyway), I don't see how any formal design connection to those aircraft is logical.
Even if I agree with You in principle, we all know how close the cooperation between Yakowlew and several Chinese companies and design teams was and is: The Yak-130 & JL-10/L-15 and the Yak-152 & CJ-7/L-7 for example.
So it is not completely impossible that there were contacts too....