This was done on purpose by Don Hewitt to resurrect Bill’s Presidential campaign after the Gennifer Flowers’ affair revelation:

’60 Minutes’ of Don Hewitt Bias — Bragged he got Bill Clinton elected • Bill was the repentant husband, Hillary the hurt wife. The “60 Minutes” segment was credited with saving the Clinton candidacy

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Don Hewitt Directing Bill Clinton in an Early Interview

Notice how focused Don Hewitt is on making sure Bill understands how he should come across. This coaching is something incredible to witness, because its from a master. Even after the light falling, he does not want to lose the focus of what Don Hewitt wants his audience to see.