Not even in the slightest.
Attempting to make the combat and movement of the 3D Arkham games into a side scroller leads you either to frustration or decided to just go the cheap "mash attack" route rather than ever really messing with any of the Bat-gadgets. There is no rhythm to it, no sense of "feeling like Batman, no discovery of how to best use items, no sense of stealth and take downs being visually interesting, it's just poor.
The "open" ended nature of it's world is so haphazardly made that getting from one area to another is neither fun nor interesting, and takes the worst aspects of Metroid or Iga Castlevania lessons to heart. Worse they make use of moving in and out of the background at times, but that only serves to make navigation more annoying at times.
It's story is the most forgettable of all Arkham games, and I'm including the mobile titles (fighting and base building ones) in this.
Despite my love for the other Arkham games, for Metroid like games, I highly recommend avoiding it. If you want a licensed side-scrolling with a superhero that is Metroid Like, look up the DS Spider-Man games instead.