If the Scene is in the same Hype Project then no the id is not carried over. This is to keep the IDs unique.
IDs in scenes can be found in the scope of the document which holds the scenes. Scenes in the DOM are DIVS.
as seen here.
SceneIDs.hype.zip (23.0 KB)
If you copy a element to a whole new Hype project the id will carry over if it does not exist already in the new project.
Always give unique IDs.
Symbols and Layouts internally may act different, I have not really followed the behaviour fully but there are threads that discuss this.