The critical point here is the relationship between Lxy or VPDL and the effective ct0 used in the predictions:
| Source | K | Contrib to Var from | Contrib to Var Spread |
| Variable: VPDL histo bin | |||
| Data | many ct0's | K | |
| Pred | conv | many ct0's | K |
| Pred | <K> | single ct0 | --- |
| Variable: Lxy histo bin | |||
| Data | many ct0's | K | |
| Pred | conv | many ct0's | K,PTm |
| Pred | <K> | many ct0's | PTm |
So - the bottom line is that chi2 fits to the asymmetry using <K> will return pred's without any smearing of VPDL at high values, while logL fits will have some effective smearing of the predicted Lxy histogram.