I tried the LSC model (tried attaching but does not accept .mat files) with the H2 solver And it worked like normally. You can see these results in the "LSC_H2_Results.pdf" attachment.

When trying the LSC model with the H2/Hinf Mixed solver it struggled to recover even the H2 results. This is with a gamma going from 1e3 down to 1e-1 (not igsq). On the H2 result it looks like the Closed loop is peaking at about 100 so this should be plenty to at least recover the H2 results. but I am left with the results seen in "LSC_H2HinfMix_Results.pdf"

It is possible that this is a problem with the Zinf connection but I will have to investigate further. I also still need to try the damping loop. Also I got multiple color bars working using This.