I would love if they did. I love playing my vita and switch. A hybrid Sony console would be really nice to have along side the switch and 3ds. I am all about portable gaming and Sony makes great games and would ha a ton of support.
Supermetaldave64 on YouTube started all this hype. He dropped a video hours before the announcement of a press event. Also says a big announcement is coming from nintendo later this year.
They keep praising everything Nintendo does, so even though it's a long shot, I would not be surprised if they announced some kind of Nintendo Sony partnership, though I know it's extremely farfetched
I would be curious to see what Sony had up its sleeve. And if indeed it is a hybrid console I'd buy it. I will always be a Nintendo first and foremost but Sony is also up there with me too
I will still get it if that is the announcement, I honestly don't think it will have everything that the switch has but will be similar and would not expect them to play all PlayStation 4 games on the go since we have not reached that type technology for handhelds yet(yes some people think it is an handheld ps4 with that type of graphics).