Random Ridiculous Realization 10:

Kyle Rayner is weird among all the Earth Green Lanterns, because where they'll end up bickering/clashing with one another, they all get along very well with him.

I finally figured out why.

1. Kyle is sweet and non-threatening with an inner core of quiet strength.

Ice is sweet and non-threatening with an inner core of quiet strength.

2. Kyle is clever and quick-witted, able to adapt to many odd situations.

Katma Tui is clever and quick-witted, able to adapt to many odd situations.

(They display similar creativity/fortitude in situations...for example, when she had to communicate what it means to be a Lantern to the alien guy from the place with no light/color, or when he discovered the attacking rock monsters to be actually Mogo, who'd forgotten itself, in mindless self-defense.)

3. Kyle had a split personality that was quite villainous. And he's vain and image conscious.

Rose of Rose/Thorn had a split personality that was quite villainous. And Molly is vain and image conscious.

4. Kyle is strong willed and high maintenance.

Carol Ferris is strong willed and high maintenance. And there's that thing about a split personality that was quite villainous again. :-P

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Basically, I think the other Lanterns like him because he reminds them of their girlfriends. :-P