The way i see it. The fundamental problem is that she isn't Wolverine and will never be really be.
Because to pop culture, fans of his character and the Marvel Universe at large, there is only one Marvel comics Wolverine and that is James Howlett aka. Logan. There is no way to split those two appart because there is no dual identity to divide.
Anyone else carrying the name will always be compared to Logan and defined by not being him.
Because Wolverine isn't a secret identity that protect it's wearer and those they hold dear, nor a title of a specific job or a mask which anyone else can fill out if they fit a basic requirement. It's the additional name for a very specific man.
This even extend to his costume. While it's an iconic part of the character, it's actualy only a secondary part to his identity. His claws are actualy a much more visual important part of his identity than it.
Look no further than 7+ successfull movies with the character in which he NEVER wore it, clearly showcasing that the man and his weapons are more important than the actual costume.
Mantle swaps on classic super heros are allready problematic enough and the longer a single character defines the "mantle", the more difficult it becomes for fans to accept anyone else wearing it.
But with Wolverine isn't a classic super hreo and there isn't a mantle to inherit. Therefor nobody else can ever successfully carry the name like Logan.
It worked for Spiderman, because that IS infact a secret identity, it's a mantle which others can pick up, a name and identity seperated from Peter Parker.
But Logan is Wolverine and Wolverine is Logan. Everyone knows that. Giving the Wolverine name and costume to Laura works as well as giving her an additional fist claw, his haircut and renaming her into Logan. Which is not at all.
Ironicaly the same counts in reverse. Laura was X-23, nobody else can ever be that in the same context, becuase the project name is so specifically tied to her as person and character.
As such it's futile and a waste of time to squeeze Laura into the name Wolverine, rather than reinforcing an identity on her own.
And before someone assumes i write this as a hardcore Wolverine/Logan fan. I'm not. It's understandable to me why people love him and why he gets so much attention. But i'm actualy somewhat tired of the character, his over-presence and the frequent attempts at making him special than is actualy good for the character.
As such the above comes from what i consider a neutral standpoint.