No one but you has made that claim. Sherman even referred to it in #30. Keep up!
The Peace Conference did not involve the seven already-seceded states. Continued peace and non-secession of the remaining slave states was contingent on what they referred to as “non-coercion” of the states that had seceded. IOW, there would be peace if the Union didn’t fight back when attacked.
Well, duhh. No war occurs if one side doesn’t fight back.
The Peace Commission was similarly based on a precondition that secession be accepted. Since the validity of secession was itself the issue in contention, one can be forgiven for believing that the Commission wasn’t really serious.
Particularly since the CSA was already committing acts of war against the USA, such as encouraging and fomenting insurrection in MO and KY, while pretending to negotiate.