Although I'm not a big fan of Home I'd be shocked if it wasn't on PS4. It's already gotta be a cash cow for Sony and when you throw in all the Plus memberships that'll be required to play it (It is an online feature) they'd be foolish not to catch all that money people are throwing their way.
Still keeping my fingers crossed that it will be... But I'm pretty sure since the games are not backwards compatible. . . Home will most likely survive on the ps3 and ps3 alone...
Until they discontinue the systems service anyway.
I was one of the original bet testers for home. It has come a looooooooooong way. I used to visit often but now I just got on now nd then to see whats new and to attend events like Gamescom. When I had Xbox Live we had a live game show called 1 VS 100. It was really popular and people could win points to use in the store. With all of the games shows Sony owns it would be nice to see them bring some of those shows to Home and maybe once or twice per week have some of them live. Or they could find some way to make them interactve with the actual TV shows some how. I think this would attract a totally new audience to home and be a lot of fun.
I find Home annoying because it used to be a place where you could find people with common interest in the same video games/genres. Now its just some weird E-Harmony hub for trannys and wanna-be gangsters. And it freezes and downloads really slow no matter how good your internet is.
I kind of think it will be rebooted on the PS4. Not at launch but later down the line. Because Home on the PS3 came out 2 years after the launch of the PS3.