So I guess thanks YoMix for putting me on an FBI watchlist. Be warned anyone. If it's so easy for an exchange to detect a bitcoin "mixer" it sure as hell means that it's not an actual mixer.
Personal experience in using a mixer is not like what you described. Could I assume you don't know how to use it, I don't think that's possible. Can I assume you don't know the function of the mixer service, I don't think that's possible.
Except for fraudulent mixer services which make everything possible. AFAIK, for mixers like Yomix and several other mixers that are still active it is impossible for the mixer to give your information to other parties because it deviates from the purpose of the mixer.