Normally I would say that the gaming division has to get profitable during the next-gen or it would get killed by backlash from investors. But given that TVs haven't been profitable for years at Sony, I'm not so sure.
Maybe TVs are too significant in Sony's history for them to let go. Or maybe they're a company that can't let go in general. Which could make their fall even quicker, if they keep losing money at the rate they have in recent years... But hey, at least you might see a PS5 in that case...