Just by way of info:
There are a bunch of child friendly, hotel run activities that run throughout the day at Jambo...and by the preview, it looks like there will be more at Kidani.
Jambo hosts an arcade, pool, and playground that are much more "relatively close" to even the furthest flung
DVC units than the same amenities at units furthest from them at SSR. You also have the "fire pit" stories at dusk (something it looks like they will continue at Kidani, given it, too, has it's own fire pit).
Kidani will host a water play area, tennis courts, basketball courts, shuffleboard (I think), a community hall area (with computer games, board games, etc), a library (which isn't, really....but will host those aforementioned activites), and it's own arcade.
All that AND the lure of watching the animals from the different public viewing areas OR your balcony. The nightvision goggle experience is something that I'd rate as a "must do" at AKL, as well. Our kids look forward to it every trip.
I've never stayed at SSR...so I'm certainly not going to say "there's nothing to do" because I haven't had to look. And I'm not trying to make a this for that comparison between the two resorts, either. But we've stayed at AKL a bunch of times, and we usually have a "resort day" smack dab in the middle of our stay. We've never had a problem finding stuff to do with our kids, there...and that was BEFORE Kidani.