You can't expect someone who merely wants to enhance their privacy, to run a coordinator, given there's a monster with millions in liquidity. He can't compete.
You are literally advertising a competing privacy service in your signature, what do you mean "He can't compete"? It's obviously a massive red flag that "Whirlwind Money" has chosen to collect their customer's data and custody their coins instead of coordinating WabiSabi coinjoins with that liquidity, which are non custodial and do not reveal any data to the coordinator.
I have to trust the coordinator for not attempting to perform a Sybil attack, and in the unnecessarily complicated case with zkSNACKs, I have to trust their chain analysis buddies with clear incentive to attack likewise, will neither attack.
No you don't have to trust the coordinator, as I explained earlier, Sybil attacks by a malicious coordinator can be detected.
In which case you detect the attack from the refusal of the private coin.
In which case I must have acquired one private coin without being Sybil attacked somehow.
Yes, such as coordinating a WabiSabi transaction yourself.
I can't create private coins myself. I can create private coins only if I will mix mine with other people's coins.
You can coordinate your own WabiSabi coinjoin with peers of your choice to create private coins without anyone's permission.
I know. That's why I took a hypothetical scenario where the coordinator isn't malicious. Even in that scenario, you have to be aware of the chain analysis company for not screwing the coinjoin up, with clear incentives that go against the coinjoin from happening uninterruptedly.
It doesn't matter if a chain analysis company is providing data to the coordinator is malicious vs the coordinator themselves being malicious, clients recognize it as an attack by the coordinator anyways because the coordinator is the middleman that bridges the communication between the two.
How would it be detected, and by who? Surely not by the user, as they accept their coins can be disapproved and they gain no right to know why:
As I explained before, a malicious coordinator is detected if a private coin is rejected from registering.