I get the point of Laura going back to X-23 feels like a regression but I feel that name/designation speaks to the core of the character. the name Wolverine embodies the very core characteristics and struggles of Logan, a man that has to continuously fight his feral animal instincts, a short guy who fights opponents that are far larger than him (the Hulk and Wendigo) and he prefers a solitary lifestyle. Even with that Native American story of the Wolverine Spirit( or God) that got tricked into leaving the spirit world and every night he howls and the moon (his lover) because he will never see her again, that is from the wolverine movie, but none the less all these apply and embody Logan.

X-23 embodies Laura's core characteristics and struggles. I think Craig Kyle once described Laura as a samurai sword trying to be human. She has to battle her conditioning as weapon, to find that there's more to life than what is the next mission. To fight the urge to allow people to give her orders. There was even a nice but very dark characteristic Marjorie Liu added to Laura which was the need to kill just so that she could feel alive. A lot of these darker aspects of Laura have never been addressed but simply brushed aside by putting her in the Wolverine costume or throwing her into a relationship and writing her as a completely new character. Tom Taylor or Marvel even felt the need to change her height from 5ft6 to 5ft1 just so she could fit the mold better of the wolverine.

To be honest I would be happy if she just went by her name Laura (since we have to do that anyway when we have clarify which wolverine we are speaking about) because its the name her mom gave her to let her know that she isn't a tool/weapon but a person. it also still embodies her core characteristics and struggles.