[warrell]

This is one of the features of Sony's Playstation TV "Stream your PS4 games to another HD TV when someone else is using the main TV in your home − start playing on PS4, and continue playing on PS TV"

I wondered if it would be something that could possibly be integrated into Kodi?

[poplap]

If Sony made the platform open enough for someone to make a library that could be added to Kodi then yet, however most likely not (Or at least no (NO) time soon)