Thats not how the story turned out though. The story ended with Cole-Alves being Punisher 2.0, perfectly capable of operating on her own. The overall message seemed to be "Military + Dead Family = The Punisher" and the idea of wannabe Punishers was handled much better by Ennis in "Widowmaker."
That was cool at first but theres a reason the monologue is so ubiquitous. If you don't have that insight into The Punisher's head (either through monologue or by dialogue) then the character just becomes a thing that shoots things and if he is just a thing that shoots things then he isn't an interesting character to read about. And while a Gotham Central-style book centered around The Punisher is a cool idea (and those detective moments were my favorite part of Rucka's run), it was undermined by presenting a female clone of the character. It felt like a cheat to take that stance on the character while bringing in a surrogate and developing that character instead. Rucka either should have committed to telling the story from an outsider perspective and left Cole-Alves out of it or he should have gone for the internal perspective to redevelop the 616 version of the character for a new generation.