concept regarding Ryoshu and Yuzuki, based on how Limbus Company in particular has treated characters taking on the names of others... i think it's really unlikely that Ryoshu's child (biological or not) will be named Yuzuki, i think we kinda easily forget that's from a theatre version of the story and Yoshihide's daughter is usually unnamed and the name Yuzuki is mostly used by the fandom as convenience rather than the actual name.
but looking in the theme of Limbus characters taking on another's name. Sancho fully embracing and taking on the name Don Quixote after the events of Canto VII, Jia Huan taking on the name of his deceased little brother... and for those of you unaware, "Ryoshu" is an alternate reading of the name Yoshihide, directly from the wiki:
Ryōshū is an alternative reading of the name Yoshihide. The choice to render the name in Hangul as 료슈 instead of 요시히데 and have this reflected in the English romanization was a decision made by Project Moon's writers and directors through consultation with their Japanese translator.
In Canto VIII, this was revealed to be a purposeful decision on Ryōshū's part, who began going by a different rendering of the name Yoshihide.
... so, concept. if Yoshihide is Ryoshu's original name: the daughter being originally named Ryoshu as a pun on her mother's name, then Yoshihide taking on the name of her daughter after... whatever happened.