New episodes of Barney, aka a revival, were rumored to start either very late this year or next year (May be Netflix only) The Barney show at the park is actually s a really good show for toddlers and the backyard playground is pretty awesome for the really young, it's possible Kidzone (Excluding Barney) closes after HHN, which would close later, or a temporary show.
The whole question is what will they offer little kids to do in the studios in the interim while Kid zone is mostly down is still pretty unanswered. The whole reason Kidzone got added in the first place is that Uni was slammed for not having anything for little kids to go to the first few years. Either a temp playground somewhere or a temp show, or something has to happen. just for the capacity (The little tykes have to go somewhere while everyone else is playing with the big rides) IOA's Camp Jurassic/Olive/Suess is awesome, Kidzone is it at studios (Except for Kodos), it needs something else, even if temporary.
My guess the back half of KidZone, excluding Barney/ET/Animal Actors, will close first. Ie. Fivel, Curious George and the Nuthouse Coaster.