I posted this a while back about the end of the play...
Someone was asking about the song they sing, why was it sung to a nursery rhyme instead of to Disney's "Who's Afraid of the Big Bad Wolf?"... and they also wanted to know about its meaning at the end of the play. The last lines...
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The song was sung to "Mulberry Bush" in the movie too, and the rights were not granted by Disney to use their song in the film.
I always thought of the song in the play as an "inside joke" that the audience doesn't get and isn't supposed to. We're not let in on the joke, only the punchline. We weren't a part of that game where they told the joke.
Just as we're not let in on why George & Martha play these mean-spirited little games with each other. I don't think they're living in dream worlds so much as they are living in constant competition and opposition with each other. They're always saying "let's play THIS," or "do you wanna play THAT?" etc. Mike Nichols brought this out a lot more in the movie and the way it was directed.
Their lives are exposed and almost too much to bear without the games. Finally, after much blood-letting, they realize that to play little games with each other the way they do, in such a violent spiteful way, will destroy them and everyone around them.
At the end when George sings the song to her again, and Martha answers, "I am, George. I am." I think she's saying she's afraid of these games and the inside jokes and the horribly dysfunctional way they live their lives. And from the emotional rubble all around them, there is a tiny ray of hope that the games and the roll-playing wars will stop, once and for all.
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So to tie that into your question... They have to end the game about the fictional son. It has to stop, once and for all. They have to symbolically "bury him," so they can move on.
"Jaws is the Citizen Kane of movies."
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