Hmm I would have said the dark-haired girl is EII while the pink-haired girl is Fe, not necessarily IEI, but I think an Fe type. She's focusing on the other girl's outward emotions and trying to affect them, her mood. The dark-haired girl is feeling her emotions only for herself.
I'm actually this way with people. I just want to cheer you up if you're feeling down, simply speaking.