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It would be nice if I could share G Stomper audio files to other android apps via android's standard Share feature, making it easy to store them on cloud drives, play them in sound players (that might make music editing possible even if the device isn't powerful enough to render music in realtime without serious stutterings, workflow would be like during programming, TeX document creating), etc.

Yes, agree with you.
Actually it's not a big thing to implement, it went straight away in the task list.
Thanks for the hing.
Until it's integrated you can use a File Manager app to achieve exactly the same (e.g. ES File Explorer).