If starvation mode causes weight gain, why weren't PoWs obese?

I'm looking through photographs from PoWs in various wars and noticed none of them were obese. Some of them are disturbingly thin and actually starving. But why aren't they obese? Shouldn't starvation mode have kicked in and made them gain weight?
If starvation mode causes weight gain, why weren't PoWs obese?
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