If I have to point out the "odd" parts of this story then it would be a lot but considering this is simply a fantasy I should refrain myself and do it moderately
How on earth Fran and Cyan being together the same time during the crime is considered as an alibi? They could have hired mercenaries or assassin to attack the victim. Did they expect the criminal especially of noble blood to do it themselves? How absurd!
I don't know if um... What's his name again? Sir knight?
Idk if the fact that sir knight voted for the prince has been announced to public yet
If the public didn't know about that it makes sense if house of lords dared to frame the prince given that they didn't know about it. Though it'd be weird that rumor hasn't spread a word about the vote considering it's a matter about the future emperor.
Still, I find myself enjoying this story despite feeling annoyed.