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No one's reinterpreting anything: that is the conclusion the CDC came to as well. Obesity is a serious health problem. OBESITY. Being moderately overweight is not a health problem.
Being underweight is also a serious health problem - in fact, it's more dangerous than being obese.
Those are their conclusions, drawn from their data.
The only contradiction here is between what you would like to be true about what a woman of healthy weight looks like and what the CDC has found to be true.