Wasabi's client is engineered to never leak any information to the coordinator it connects to. The coordinator cannot obtain more information about its users than what is publicly available: the blockchain. There are obviously ways that a malicious actor can extract information, but those are usually extremely hard to target, expansive, and easily recognizable. Also, the more liquidity, the best is the protection against any of those attacks (Im thinking sybil attacks for example). 

In fact, every information about a round is publicly available, this is how LiquiSabi works: It connects to the coordinators and sees all the information about rounds, same as a coordinator or a client. So running a coordinator or listening to the information as LiquiSabi is doing allows to fetch basically the same amount of information.