This paper aims to re-examine the three reactions discussed by Silvi and co-workers, focusing on the assigning process of bifurcations via monitoring the Hessian determinant at potentially degenerate CPs and the relative distances between them, as recently proposed by Ayarde-Henríquez and collaborators. The second goal is to show the need for consistency with the theoretical basis of CT since ignoring them would question the rigor of past and current applications of BET, casting strong doubts on how reactive processes have been rationalized via unfoldings over the last 30 years.