In The Chrysalids, how is the splinter incident in Chapter 3 used for satire?

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This incident indicates the absurdity of the situation in which David is living, as one careless remark comes to be misinterpreted so grotesquely. David hurts his hand on a splinter, and goes to his mother who binds it for him, annoyed because she is busy. David comments that he could have done it himself if he had a third hand. His father hears this remark and reacts in his typical extreme way. Note the way that David tries to protest his innocence:

"I only meant if," I protested. I was alarmed, and too confused to explain that I had only happened to use one way of expressing a difficulty which might have been put in several ways.

Religious extremism has been taken to such absurd lengths that this incredbly innocent remark is able to be interpreted as asking to be a mutant and as a sign of blasphemy. We are presented with a world where conforming to the norm is so vital and important that even casual remarks can be taken as signs of sin and wishing to be something else.