Conversely.
It is quite normal for Chen Mu to be unwilling to reconcile with them.
The Pavilion Master of the Mysterious Mechanism Pavilion had studied Chen Mu's personality. He rose from obscurity, distinguishing clearly between love and hate, never forgiving a slight, and always acting recklessly. Now, with unparalleled personal martial prowess, he would most likely not take the Imperial Court seriously.
As such, if such an edict were issued and Chen Mu had no intention of reconciliation, seeing the edict as a provocation, then he would likely take action next. The best case would be if Chen Mu, alone, left Cold North and went to the Central Prefecture!
