They already do ask for Data ownership (through dedicated Data centers at home).
Europe is constantly in a tug of war with American companies like Google and Facebook over this.
I don't see Japan or SK making a struggle though. Because...um.. Respectfully so... They aren't that sovereign.
Europe manages to do it because of its size. Individually, few European companies can demand Data ownership/protection from US companies. (France is an example). United, EU retains strength.
India is another country which may get its demands met. But I think it'd be just one of those carrots that US would throw in front of India to assuage its Global power dreams.
For India, another angle is that this "data sovereignty" is a ploy for Ambani (Reliance/Jio owner) to cement his position as India's tech overlord. Already Google and FB pay "homages" to him.