The knowledge Chen Xi has learned tells him that all matters involving personal affairs can be done as one pleases, and if someone uses their personal affairs to investigate the individuals behind you, either they possess strength that allows them to disregard your influence, or they have a problem with their judgment.
In the first scenario, whatever you say is meaningless; in the second scenario, what you say is equally meaningless. In essence, these two scenarios are about picking a fight, so when it comes to solving personal issues, all investigations into the forces behind you are merely a pretext.
However, when dealing with matters that are not personal, there is much to consider, especially as your level rises. You cannot act recklessly; you even need to think about what will happen decades in the future.
To cut down the aristocratic families is precisely the kind of matter that will ripple across decades, even centuries, and Chen Xi is more than certain of this.