As far as Ableton goes, have you tried Reaper? Reaper has a native Linux version and generally works quite well IMO. One of the better DAWs and certainly one of the cheapest to purchase a license for.
I did check (based on the comment above about Ableton not being the same as Reaper in terms of how it's used) - and see that Bitwig (which is more like Ableton) does support Linux (not sure how well, but it looks like it's officially supported). But people who have Ableton specific plugins may not be able to use it, IDK.
I do feel like Reaper was more for "live recording" sessions as opposed to Midi sequencing and electronic production, but that was just based on my small experience. I'm sure it's good for both, just a different work flow.
To me reaper is more like a superior version of audacity than a competitor to things like Logic Pro, FL Studio, etc.
I can't tell about Ableton as i never used it, but Reaper is on a totally different planet compared to Audacity. I used Cakewalk Sonar (on Windows) for years until I discovered Reaper, and didn't look back. Then they made the Linux version which works like charm, although the Windows version runs extremely well with very low latency too using WINE. I'm all for using FOSS software, and it hurts me because Audacity is the "good guy" here, but it's really way way inferior compared to just everything else.