Vanishing cycles of smoothable isolated Cohen-Macaulay codimension 2 singularities of type 2

We extend the results from the previous paper by A. Fr"uhbis-Kr"uger and the author [arXiv:1501.01915] to the vanishing topology of those singularities in the title. Studying the case of possibly non-isolated singularities in the Tjurina- transform, we reveal that in dimension 3 and 2 there always is exactly one special vanishing cycle in degree 2 closely related to the determinantal structure of the singularity.