Earlier quoted context omitted.
Can an iPad run Live?
Ableton could have made an app to run the Live engine controlled by the Push. After all, they are probably running some Linux distro in the Push 3 so they had to invest in that anyway.
It's a lot of work though. And the pay sucks, especially on iPad/iOS where Apple refuses to let you make a profit without letting them take a bite. On MacOS it's a sustainable practice, but unless Apple changes something architecturally I wouldn't anticipate Live coming to iOS anytime soon. At least any sooner than Linux support, which is apparently(?) finished internally.