The OTE characterization of sticky matroids

Let $M$ be a matroid. A modular cut is a set of flats closed upward and closed under intersections of modular pairs; $M$ is OTE (only trivially extendable) if every modular cut other than the empty cut is principal. OTE characterization conjecture. A matroid is sticky if and only if it is an OTE matroid. In the finite case, the paper proves equivalence with the Sticky Matroid Conjecture and Kantor's conjecture; the proposed extension to arbitrary rank is described as slightly weaker than the finite Sticky Matroid Conjecture and is not resolved.