Hi kariomart.
Typically, any Dynamic system, to my knowledge, is based on the idea that Dynamics take over, except you have forces enabled, then it mixes the data.
While not having a file here, I would suggest that you eventually cache the dynamic solution you have, then use a Current State to Object.
With a non-dynamic copy of your object, use the Pose Morph and drag the "Current State to Object" results inside. Relative should work fine.
Please note that the Pose Morph can't replicate the complexity of the movement from start to finish; it will be a straight line between the "same" points.
All the best