y'all are not understanding the underlying principle: these things work holographically.
Dumbledore even said that copying the soul fades it, when Harry was inquiring and specifically pondered the maximum number of times the soul could be copied.
Needless to say calling this project Horcrux is just silly: it should be named after some other fictional story which requires all of the pieces to be assembled (like the new Starfield story I think).
A Horcrux is like a fax facsimile and loses a lot of information. The entire point of the story was that the gang had to destroy ALL instances of the Horcrux, because He could be revived even with just one (holographic) copy.
Any wholesome leader who is also a HP fan would not appreciate the name tbh.