To run your adventures in Linux (without emulation), just make sure that you can play them using WME lite. Then the OS does not matter, and it should run on Windows (traditional Desktop), Linux, Mac OS, Android, iOS and Windows (UWP app).
The script compiler for Linux (and other unixoid systems) is useful if you want to compile scripts without the WME Project Manager. For instance, if you want to develop and test a game with WMElite in Linux, without emulating the Windows WME tools. This scenario is probably not very likely.
So far, the "best" usage I found is the WME development app for Android. You can use it with both your game compiled as packages, but alternatively also the project sources only. The script compiler will then compile the scripts on demand. Script compilation seems to be a compute intensive task, on Android you'll see the difference in startup and scene change time instantly. The advantage is that for development you just need to sync your changes, not always the whole project.