Some pertinent questions (I think):
Is the Sub direct or port injection?
If it is port, the fuel cut may be to avoid a spike in exhaust HCs as the airflow alters faster than the fuel empties from the inlet manifold.
What is happening on the other side i.e. how much additional fuel - if any - is being added as the throttle is opened? (Analogous to the accelerator pump in a carb.)
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