Earlier quoted context omitted.
What's the bias you see in the statements "King Louis was executed" or "former king Louis executed by means of guillotine for high treason"? Both the terms "execution" and "high treason" are objective descriptions takens from the proceedings.
No? Treason is in the eye of the revolutionary judge. The trial was never a fair one, the outcome was clear from the start. And from an unfair trial and an unjust judgement you can't lawfully execute someone, you can only murder him execution-style.
You are conflating reporting and editorializing. Whether the trial was fair and the execution just is an opinion, and yes, that has a bias. But whether you agree with the sentence has no bearing on whether it took place.
So no, you can't have it both ways. You can't point to objective reporting and claim it has a bias, when in reality you mean that the reporting isn't showing your preferred bias.