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Also, the compilation fails if the SourceCode object's `name` has a dot in it -- is this specified anywhere? (it failed in a weird way for me, it didn't detect the implicit receivers i set in the compilation configuration at all)

The name extension of the source code defines script definitions matching. Therefore it might interfere with the compilation. If you see smoe different problem - please file an issue to the youtrack.
This is not a an exactly user-friendly piece of the API, so most likely we'll change it eventually. But current scheme allows us to overcome some IntelliJ limitations and thus provide custom script support in the IDE.