Can we start with a simple one? Do you have proof that o_e_l_e_o knew they were lies?
Yes. Originally, o_e_l_e_o was fully aware that coinjoin coordinators can't affect your privacy, that proof is presented at the very top of the OP:
So what is the lie o_e_l_e_o knew was being told? Where do the coinjoin coordinators claim they can affect privacy?