When "run" GUI in the MATLAB Editor is used to run a live script, it embeds the output to the live script. When "run" function is used to run live scripts, the output is not embedded to the live script. This is expected behavior. Live Scripts should run the same regular .m script if called from the command line, or by another file.
At this point, the only way to update the outputs in the file is to run the script interactively in the Live Editor.
I have brought this issue to the notice of our developers. They will try to work on it in future releases.
Best Answer