Previously, I was looking into the difference between unfolding data using a Pythia8 generated response and a Pythia6 (embedding) generated response:

https://drupal.star.bnl.gov/STAR/blog/dmawxc/update-07102019-run-9-pp-comparing-data-unfolded-pythia8-priors-vs-pythia6-priors

And I haven't quite figured out what the difference between the two cases (using the Pythia8 response vs. using the Pythia6 response).  One thought that came to mind was that maybe it's due to the difference in trigger species.  The Pythia8 response is generated using pi0 triggers, but the Pythia6 response is generated using charged hadron (not just pi+ and pi-) triggers.  So I tried unfolding the data using a Pythia6 response made with pi0 triggers, h+- triggers, and both.  The plots below compare the three scenarios.

So, while it doesn't make a big difference (nothing like the factor of 2 we see between Pythia8 and Pythia6), it does make a difference.  The shape of the unfolded data between the pi0 and h+- triggers (and thus also between the pi0 and pi0+h+- triggers as well) are distinctly different.  In fact, the pi0 case compares quite favorably (in shape, not in yield) with the data unfolded by the Pythia8 response...  This may need some further investigation...