Little Busters! fictional universe and Rewrite are part of the same story.
If you remember, in the VN, the unknown lifeform subplot, after beating it for the second time, Bio-Tanaka shows up and explains that the lifeform is his eagle, which changed after eating bio-cookies. What did the bio-cookies do? Accelerate the evolution of the eagle . In Rewrite, certain orange-haired main character has an ability related to this concept. For example, if you remember Akane’s route, the way Kotarou’s ability, particularly for fighting the Earth Dragon, is “accelerating the evolution” .
I really want to develop this theory…
The corollary of it might be: Kyousuke = Kagari ?