Edna---have you ever seen a film with cross-cut scenes? You don't have to split the screen and do it simultaneously.
How about the opening number of the movie Chicago, where Velma is singing "All That Jazz" while Roxie is (at first) watching her in the audience, then in a different location murdering her husband. It's done with cross-cutting, not split screens. But it's all happening at once.
My problem with Into the Woods is that several songs have characters stationary on stage telling you about what they've learned. Quite a few, actually: Giants in the Sky, Steps of the Palace, I Know Things Now, No One Is Alone, etc.
That wouldn't translate well on film without a rethinking of the concepts. You can't have characters in a movie sitting around "educating" the audience about what they've been through. Yes, you could cut away to flashbacks. But every time? It happens quite a lot. I think it would get old on film very quickly. The screenplay would have to be very clever, and one or two of those songs would have to be cut or rewritten to keep songs happening in the moment. Not after the fact.
"Jaws is the Citizen Kane of movies."
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