Really tiny text.
If there were to be a Vita connection, I think it would be limited to purchasing virtual items in Home.
That's Toro station, it has nothing to do with Home at all.
Sony already has a bizarro PlayStation Home on Vita, but only in Japan. I believe it's called Minna to Issho: Friend Network. Google it, it's kinda neat. You could maybe bug Sony about bringing it stateside.
The only feasable thing Sony could possibly do, is allow some kind of "cross play" with the Vita...where you could maybe shop within the Home stores, access wardrobe only, or tie in some kind of Home related mini game, IF thats even possible.
Maybe someday we will eventually get Home on a handheld device, but it would have to be as powerful as a current gen PC or PS4 to be able to pull that off.