It would probably be dangerous to engineer an organism that doesn't break down. Imagine a living, growing plastic. Except not a Dr. Who villain.
https://www.goodreads.com/book/show/41094.Greener_Than_You_T...
Immortal plastic organism will eventually evolve to a lot more that 'trap carbon' work. Human's barely live for 60 years, and yet we can transfer all our knowledge generations one after the other. Imagine what an organism that can never die could do.
And kill a ton of sea life?