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>To-date there is no public research on fundamental aspect of Monero

What about these papers?

"An Empirical Analysis of Linkability in the Monero Blockchain" - https://arxiv.org/abs/1704.04299

"A Traceability Analysis of Monero’s Blockchain" - https://link.springer.com/chapter/10.1007/978-3-319-66399-9_...

From what I remember, those rely on some older aspects of Monero no longer present. But more importantly, they do not provide positive guidance on exactly how much mixing [churn] with what ring-sizes are needed to achieve a certain anonymity set size. Monero project itself has no statements on these key issues [except for a sentence in one of their updates stating that churning is not sufficient].

The research you linked does illustrate some problems. And Monero's reaction, to not include any disclaimers, to continue saying it is private and untraceable... misleads users.

>rely on some older aspects of Monero no longer present

My understanding is Monero recognized these weakness and patched to avoid them.

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