It's hard to discuss privacy of mixers if you don't know how it works, or haven't at least tried it. Different mixers work in different ways.

I'll add a bit to what has been said already: you could get a voucher from ChipMixer, and exchange that with someone else (obviously someone you trust). If you do that, there's not a single entity on the planet who could know all the information linking your incoming and outgoing transactions.