BCH dev. suggests Monero is about as private as using CashFusion on Bitcoin Cash given network-layer attacks
Network-Layer Privacy on Bitcoin Cash
More information about CashFusion: https://odysee.com/@backyarddirectors:c/cashfusion-true-privacy-on-bitcoin-cash:c
The number of enotes that exist and are used as decoy is likely to be greater if the entire network always relies on anonymous TXOs instead of using them only when they are needed for anonymous transactions. Monero uses anonymity by default for all transactions, not only when anonymity is explicitly requested by the user. This means that transactions that require privacy merge with transactions that would also work without privacy. Users of the network are therefore probably many more people who would not actually need anonymization, but are treated equally and are indistinguishable. A comparison: anyone who uses cash in the form of bills and coins is probably not a criminal, but a certain number of cash users are also people who break the law. Now only Monero XMR, the digital cash, has been added.
the entire network always relies on anonymous TXOs instead of using them only when they are needed for anonymous transactions.
But if the entire network is not that large then it will not help that much. Monero's mass adoption potential is limited by many factors such as scalability, reputation, UX, and fiat on-ramp access. If your goal is world level adoption then BCH's approach is the better choice, IMO.
scalability
I am not a professional, but these metrics are exceptionally good in XMR Monero. Leaving aside future developments such as paralesllization, even today's solution could easily cope with a multiplication of the current volume.
Where did you get the figure of 2 for the anonymity set of Monero (that has other privacy features that you forgot to mention)? Maybe you are oversimplifying a complex problem.
I did not present a figure of 2 specifically. The point is Monero is more vulnerable than previously believed but still this is likely irrelevant to casual users as no one will put so much effort into mass tracing anyway. Given this logic, for the vast majority of users Bitcoin Cash with CashFusion is private enough IMO.
Using standard statistical methods, that ring size of 16 shrinks to an average of 4.2, slashing Monero’s privacy by about 75% compared to what was previously assumed.
The website's article completely bases itself on https://duke.hush.is/memos/6/
Both are spreading FUD about churning. The 2 wallets method is also churning, but "easy" version because you're separating the results. The end result is still dangerous: you could spend 2 of your "Outgoing" coins in the same transaction, which is really easy to identify, provided both coins are from the same source.
I'd argue the stastical risk of establishing a trace thanks to a serie of churns is extremely unlikely. Nobody will churn 6+ times anyways, and the advantages of churning far outweighs the ones of not churning.
Sadly, they also don't state anything about how that "MAP Decoder Attack" works. After searching, it's pretty interesting, and we come onto the pretty well known issue that decoy distribution isn't perfect.
FCMP will fix this. In the meantime, please churn for any sensitive transaction. Either method (2 wallets or classic churning) works and the effects are always good, even if other mistakes are made (except if sweeping all).
I have to say I haven't really checked much of Rucknium's work, but it's pretty damn precise. Guy knows what he's talking about. Our next big threat will be malicious remote nodes, like he said!
Cashfusion is CoinJoin, not like Monero.
It does not have to be like Monero to give you a similar level of privacy.
It has 2 pools. One anonmous, one open. By such, big coorperations & governments can get AI to crunch numbers, and use the open pool to deanonymise the private pool. This is by no means comparable to XMR. XMR is private by default.