Yeah, but that was, like, the complete opposite of Jane's story.
We were never supposed to see Jean-Paul as a valid and genuine replacement for Batman. Then the story built up to Bruce eventually re-taking the mantle and overcoming AzBats.
Jane is more like Wally West as The Flash if we're comparing DC legacy heroes. She's meant to be seen as a successor that was wholly accepted and embraced, with the original being kind of phased out, and possibly being even more successful then their predecessor. It made it more jarring when the mantle return happened.
I think that was the difference between the main wave of Marvel replacement stories around that time compared to how those are traditionally handled.