Thanks for your answer! According to the link, if I follow, there’s only a “precise” flag which seems to use OBB instead of AABB, what about custom bounding boxes? (cf. in the question where I mention having a more complex bounding box set on custom geometries).
This makes me think that (for example) cylinder by default set a BB of an ellipsoid?
EDIT: Also I just realised this is an intersectMesh parameter, but I am using the checkCollision flag