We test the proposed secondary termination scheme by making all ADOs n > 2 terminators, thus significantly reducing the section of the hierarchy in which information can flow back to the density matrix. Figure shows contour plots of the BLP measures for the IDR case before and after secondary termination. It is clear from the left hand panel of this figure that this system behaves very similarly to the UDR case, however the virtual information recurrence at early time is more pronounced based on the reduced damping, leading to decreased damping. From the first panel it can be seen that the first 75 ADOs go in sequence along the first two Matsubara dimensions. The third block (the next ∼ 50 ADOs) are multi-tier, and therefore are not terminated by the secondary criterion. These therefore contribute significantly to the OQS dynamics. It is clear that the majoriity of ADOs are terminated, in a manner similar to the FDR regime, so we might expect equivalent levels of broadening in the resultant 2DES.