As a parent, I would do this too. Imagine if they includes Studio Ghibli movies.
There's a certain standard for Disney movie that makes it easier for you to watch or recommend young kids to watch, comparing to Netflix that you might have to weed out content a bit. Sort of similar to Whole Foods vs Safeway. This doesn't imply which one is better than the other, just that it's easier to set expectations for something with more niche.
The word "native" jumped out at me. I wonder, for the target users you are aiming, if it's enough to say "...an iPhone app...". To me, it's the same feeling as "to kill a running app". It's common for tech people to say but doesn't have personal touch.
There's a certain standard for Disney movie that makes it easier for you to watch or recommend young kids to watch, comparing to Netflix that you might have to weed out content a bit. Sort of similar to Whole Foods vs Safeway. This doesn't imply which one is better than the other, just that it's easier to set expectations for something with more niche.