[xyience]

Skimmed the PDF, it seems like the point of this paper is just to show that yes, classical systems can (with memory, e.g. the reference https://arxiv.org/abs/1007.3650) simulate quantum ones, and thus finding "characteristic quantum numbers" shouldn't make one immediately suspect something quantum is going on. In the discussion it's like the ultimate nitpick: "The characteristic trait of QT rely on the fact that the quantum bounds are achieved without employing extra resources such as memory. Therefore, the principles needed to fully derive QT (in the spirit of Refs. [33–37]) should account for that."

There are some people who find the concept of quantum physics philosophically displeasing and try however they can to ignore all the experimental evidence and say we're really in a classical universe. This isn't a case of one of those.