Re: Does Wasabi wallet coordinate their coinjoins on their servers?

If they are coordinating the coinjoin on servers they control then isn't it possible to know which output address belongs to who?

Good question, but coordinator wouldn't know which output belongs to whom because it uses Chaumian CoinJoin. Here's short explanation from Wasabi docs.

Quote from: https://docs.wasabiwallet.io/glossary/Glossary-PrivacyWasabi.html#chaumian-coinjoin

A Chaumian CoinJoin is a special type of CoinJoin that utilizes Chaumian [or Schnorr] blind signatures to prevent the central coordinator from spying on the linkage between inputs and outputs.

If you're interested with how it works in detail, check https://github.com/zkSNACKs/WabiSabi or https://docs.wasabiwallet.io/using-wasabi/CoinJoin.html#zerolink-protocol-step-by-step

How can we be sure that Wasabi is using Chaumian CoinJoin? Couldn't they be saying they are using Chaumian CoinJoin, but are using a different kind of coinjoin and recording which outputs belong to whom?

Wow, this is getting more stressful. Wasabi wallet has really shown their shady in recent transactions. I realize that people in their community are having the same question and admins are still unable to answer it clearly.
So if you have money left in Wasabi, withdraw it before any bad news hits you. This crypto market can happen anything, so safety is foremost.