The study clearly claims that eating eggs is inversely correlated with CVD/IHD. How does that not bear on their healthiness?
Unlike strawberries where relationship is linear, unlike many other vegetables. Put a healthy exercising population and the correlation disappears, I guess foods are no longer healthy in that case.
Eating 1 egg per day for the average member of the measured population seems to be healthy. It does not mean eggs by themselves are healthy or unhealthy.