Concord:
It's a law of physics. You start to give ANY MASS a rotational velocity around a point then its going to move outwards.
Sorry but even if the forces are tiny and the movement is small the effect is still there.
However i'm not in a position to state without facts or figures if there would be any difference in ash density into the non-bypass airflow.
You are forgetting that between each row of blades in both Compressor and turbine there are stator blades whose job is to ensure that precisely what you think will happen (rotational motion) does NOT happen.
To put it another way, rotational motion in both Compressor and Turbine gas streams is wasted (rotational) energy.