There's always the artistic merit. There are very few adaptations that attempt to be 1:1 in terms of how a product looks. Sometimes that's aggrivating, other times it's fascinating. I watched The Hitchhiker's Guide to the Galaxy for the first time since it came out in 2005. I found it was actually pretty delightful, even though it looks absolutely nothing like the original TV adaptation that had influenced my initial headcanon, and even deviates away from the book in favor of the director/screenwriter's vision. Sometimes it worked, sometimes it didn't. But it had it's own merit just for the small left turns it took away from what was canonical to the book. The entire trip to vogsphere was fantastic, even if as far as I know, it's not a thing that happens in any of the books.
So, they can take the core concepts of Cowboy Beebop and run wild with it. Look at how fantastic Haunting of Hill House was, and that's been a big hit with our crew here so far.
So the franchise can work, but it really does need to try to balance itself between mirroring the original, and trying to do it's own thing. Since CBB is a mishmash of episodic and a storyarc folded together (And IIRC, it paradoxically has a Bad End right in the middle that's alternate canon), there's enough room for this series to make up its own episodes as long as it hits each character's arc moment and generally stays true to the spirit if it.
I'm also reminded of the Supernatural anime series. That took the framework of the live action series but reconfigured the plotlines to better suit a 20 minute framework, and added some Japanese style monster/ghost types IIRC. It also outright changes a few iconic episodes so that seasoned fans of the franchise would still enjoy some surprises.
Shame that the art quality was kinda cheap, and it ultimately ended before it could go anywhere with itself.
