As a former long-time Ableton user, just want to recommend Bitwig Studio[1] as a viable (improved?) alternative that runs natively on Linux. I've used it for live performances and label-released music for over four years now and other than the typical setup issues related to Jack (one time thing resolved in an hour or so) I couldn't be happier.
[1] https://www.bitwig.com/en/home.html