Marvin, good to have you. And yes, I think there's plenty of room for picture books that speak to parents too. In fact, since you rarely see 3 year olds purchasing their own books, I think you'll find books on the market that go TOO far in trying to entertain parents over kids.
Take for instance the huge hit, Click, Clack, Moo: Cows That Type. I don't know many toddlers who know what going on strike means, but here's a comedy book about labor relations between a farmer and his cows.
It's always struck me as a book meant to keep the grown-up reader from nodding off more than anything. Still, Ms. Cronin is doing pretty well for herself. (See the even huger hit, Diary of a Worm.)
Hey, if you're serious about wanting to post as an illustrator, here's the place to do it. It's free and well-trafficked.