Perhaps Arthur Miller ultimately excluded this scene because, in some ways, it makes Abigail seem somewhat sympathetic, and that would be very confusing for the audience. Miller needs a clear villain, someone on whom the trials can be blamed (like he blamed Senator Joseph McCarthy for the HUAC hearings that...
Perhaps Arthur Miller ultimately excluded this scene because, in some ways, it makes Abigail seem somewhat sympathetic, and that would be very confusing for the audience. Miller needs a clear villain, someone on whom the trials can be blamed (like he blamed Senator Joseph McCarthy for the HUAC hearings that ruined careers and livelihoods), and this scene problematizes Abigail's motives. Initially, in act 2, we understand absolutely that Abigail is trying to frame Elizabeth Proctor for witchcraft so that she can have John Proctor to herself. However, when she's alone with John in act 2, scene 2, some thirty-six days later, she says,
My spirit's changed entirely. I ought be given Godly looks when I suffer for them as I do [....]. Why look at my leg. I'm holes all over from their damned needles and pins. The jab your wife gave me's not healed yet, y'know [....]. I think sometimes she pricks it open again while I sleep.
At this point, Abigail seems to be believing her own stories. The stage direction says that John "see[s] her madness now." She complains that George Jacobs comes every night and hits her with his walking stick in the same place; she even claims to have a lump, and she tries to show it to John. A perfectly sane Abigail would recall that she's making these stories up, but an Abigail who has somehow lost her wits would treat the memories like they are real, and this is what she does. She even tells John,
[...] God gave me the strength to call [the townspeople who have judged me] liars, and God made men listen to me, and by God I will scrub the world clean for the love of Him!
She even seems to forget that John still has a wife who will go to trial the next morning and she only "distantly" seems to grasp it when he reminds her; more stage direction says that "she is still grasping for her wits." This Abigail does not seem to be in her right mind, and so it becomes more difficult to blame her for the lies she's telling when she, herself, believes now that they are truths. If she can no longer tell the difference between fact and fantasy, can we blame her for mixing the two up? At any rate, this scene throws her sanity into doubt, making her—potentially—somewhat more sympathetic, and I cannot imagine Miller wanted this result.