Conjecture on canonical models of small geometric transitions

A geometric transition is abbreviated g.t.; a geometric transition is small when it is small. A conifold degeneration is a degeneration through conifold singularities, and a composition of conifold transitions is an iterated sequence of conifold transitions. Two geometric transitions are equivalent when they represent the same transition in the sense used in the source.

Small-transition decomposition conjecture. Every small geometric transition which does not admit any conifold degeneration is equivalent to a composition of conifold transitions. Consequently, canonical models of small geometric transitions are given by compositions of conifold transitions.

The source presents this as a stronger version of the preceding conjectures and cites the conifold decomposition of the Namikawa small and rigid geometric transition as evidence. The supplied text gives no resolution status.