My interest in this topic arose because Gautam Sengupta was excited by the appearance of the CPW = Chandrasekaran-Penington-Witten paper [arXiv:2209.10454[hep-th]] entitled Large N Algebras and Generalized Entropy.
This paper is a repetition of the earlier mentioned works on the proof of the QES proposal without using replica trick or Euclidean gravity.
They use Tomita-Takesaki modular theory to this end.