The only unequivocably correct thing that can be said with any certainty is that AESA is not automatically superior to PESA. ANYTHING else is conjecture
No, the unequivocal fact is that AESA technology is more advanced than PESA and has various advantages such as improved beam-forming, reduced size/weight, and improved reliability and maintenance requirements.
The question of how China's combat system as a whole compares to late-model Aegis is indeed mostly conjecture and our statements should be conservative to reflect that uncertainty.
Because there is little reason, either empirical or theoretical, to suspect that China's system is inferior to Aegis in any particular respect, the appropriate expression of our uncertainty, incorporating what we know about AESA vs. PESA, is that China's system as fielded on 052C/D and, in future, 055, is at least
comparable to Aegis. That is to say, we should challenge assertions of both Chinese superiority
and inferiority as exceeding the available evidence.
Nonetheless, it is perfectly reasonable to note that AESA technology is more advanced than PESA and that China fielded this technology on its warships long before USA did. And of course an obvious example of where China's system lags its American counterpart is at the pointy end, with the present lack of both ESSM and SM-3 analogues.
by the way in Type 055 Thread I noticed several debaters used
CUVLS
I suppose it's 'Chinese Universal Vertical Launching System'
I just invented that acronym for convenience. If the real name for the system is known, I am happy to use it.