Not just as a limited offer, but as a big bundle that lasts a long time.  I for one dont think the Vita deserves to be forgotten by Sony.  Its a great handheld supported poorly by Sony.  But including it with the PS4 for only $500 could get the ball running for the Vita after so many years, especially in the West where it needs it the most.

What do you all think?

How about a Sony Playstation TV instead? (consol version of the vita).
Remote play for your PS4 (if someone in your home is hogging the main TV).

Access to a even bigger game library this way (than the ps4 alone), could help sales for vita games.

I think no one would buy it. I also think Sony would never devalue the Vita that much. Especially when they'd have to bundle in a game with it, devaluing the whole thing further.

Hmm, it could work. That price is high, but not bad for both together. Though it sounds like Sony could lose a lot on doing this, which may not be worth it in the end.

Not anymore, when PS4 was supply constrained this would have been a good move, but with good supply now, don't think it is worth it for them. Given either way you would do a limited run, as Sony most likely will be hurting a bit from selling a unit that cheap.

People need to understand that Sony didn't give up on Vita. The audience rejected it. Two different things. Say you made something. Majority hates it. You can't do much else to tell them to even look at Vita anymore. You can't be losing money on it either. By trying to push it like crazy. So Sony just sells what they can. With the least money invested. Take Gamecube. $99 for nearly its entire generation. Never helped. Getting Resident Evil exclusive games never helped. Nintendo never bundled a GBA with it. Same goes for the Wii U right now. A PS4/Vita bundle will just get ignored. Or get the hate the Kinect got with X-One.

Wouldn't be a good idea. Sadly, nobody cares about the vita. :(

It could help the Vita a little bit. But I still see most people going for something like the normal Bloodborne bundle.

"Should $ony bundle bricks?"
No!