Move Timeline Activity from Company to Relationship

We are using Relationships to differentiate between products and in our case also the CS team working with the customer. Therefore, our team should always log activities on the Relationship Timeline instead of the Company Timeline. Sometimes, that goes wrong and currently, the only solution is to recreate the Activity on the Relationship Timeline and delete the one on the Company Timeline. It would be great if the Activities could be moved, for example by updating the Related to field of the Activity.