Are you saying there is no partnership, working arrangement, cooperation, bitcoin UTXO checking by blockchain analysis (describe it in any words you want) at all or that there is but it yields to no results for the blockchain analysis company? I've never thought highly of such companies, but I will certainly not consider them to be stupid not to realize you are feeding them with useless data. If that's what you are doing. Or, since you said that there is no willing cooperation, has Wasabi and/or zkSNACKs been forced into this deal with blockchain analysis?
Coinjoin coordinators can't feed blockchain analysis companies any data because Wasabi clients do not give coinjoin coordinators any data. It has always been this way.
However, blockchain analysis companies can feed coinjoin coordinators data. Coordinators may use this for ethical purposes because they want to avoid helping scammers hide the source of their funds, or they may use this for legal liability purposes because they want to avoid being punished by governments.
Finally, explain then how a person can be blocked from coinjoining based on the findings by blockchain analysis if the company doesn't receive or can find useful data on the history of the UTXOs?
If you receive coins from someone who isn't using Wasabi, then that UTXO has a history attached to it that blockchain analysis companies have tracked in the past. Once that UTXO is coinjoined, there is no longer any history attached to it and blockchain analysis is useless.