I did not understand how this fake coinjoin could enhance privacy. All I see is an increase in fees and making your transaction resemble coinjoin (which is not a good thing, especially for those looking to hide their identity from their friends without using mixing services) without enhancing privacy.
How is that even possible?
To help understand easily. let's suppose i have my Bitcoins in Wallet A, Wallet B and Wallet C and I created a new Wallet Wallet D.
I used mixers to mix my coins from Wallet A to Wallet D. Also i mixed my coins from Wallet B and C into Wallet D.
Blockchain analysis services give a piece of information, and the agencies collect the necessary information to link everything to an account or service to which you provided your personal data. In the previous case, there is a high probability that wallet A and D are connected because they have the same value and the starting and ending points were the same. Information like this with information Others may lead to your identity being revealed if you make a mistake, even if it is simple.