Hugging over or under the shoulder? Whats the difference between these hugs?

If a man (who is obviously taller) hugs a woman, whats the difference between these two?

Guy hugs the girl over the shoulder: that way her hands touching his middle back, his arm are over the girl's shoulder/neck, her face touching his chest area.

Guy hugs the girl under the shoulder: that way he bends down, he holds her middle back, their face cheeks are pressing to each other, her hands are on his shoulder area.

Hugging over or under the shoulder? Whats the difference between these hugs?
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