>>2283624>Also, I especially wanted you to notice how distant her gaze isIn the final KS I feel they still achieve this with her eyes being clouded, having no visible pupil or other features. It may not be as obvious, but that kind of behavior is still reflected in her, it is pointed out a time or two in the VN that she turns to face and talk to someone but is slightly off in positioning.
Extremely rare is still a nonzero chance, which makes it safe enough to assume that Lilly is just one of those very few people who are coordinated in that area.