Coordinators cannot provide any data to surveillance parties, registration for each input happens over a separate Tor identity. A coordinator can only refuse to include an input, not identify it.
Except zkSNACKs are paying one or more blockchain analysis companies to investigate each input as much as possible and link that input to as much third party data as possible to then tell them whether or not they should censor it.
Your argument can't honestly be "Well, yes we are censoring you, and yes we are working with blockchain analysis to spy on you, but we aren't spying on you
too much!"
By paying blockchain analysis firms zkSNACKs, and by extension Wasabi, are directly supporting the notion that some coins are tainted and that bitcoin is non-fungible. This is a direct attack on bitcoin itself.