Keon has too much hatred for his mother to investigate such a thing. Although he indeed know that his mother's reputation in the past was that of a kind, virtuous, and flawless moon
He along with the Duchess of Ybra were the flower of the society
The Duchess is kind yet also strongheaded while the Empress was kind and gentle at all times
Hence the reason why even though the two are top-tiers moon in their time, the Empress did not gold a grudge for the Duchess
If it was any other moon that is filled with jealousy, they might have started going against the Duchess already as they have to share the spotlight with him
However, the Empress aside from always having hatred for his own child is actually still kind and gentle to most people aside from the Queens and Imperial Suns and Moons
As such, even though the Empress largely changed in that part, the Emperor still loves him the same as before