It is a common collaboration workflow to copy and/or monitor elements. Situations, where this is common, are legion.
The UK protocol states that only levels and grids should be copied and monitored unless there is a good reason to copy and monitor other elements.
An example of the exception is where the electrical discipline copy and monitor mechanical elements. If an Architect removes a wall, for instance, the mechanical Engineer needs to adjust the HVAC system. This in turn might cause a change in power requirements (the electrical load is then different). How would the Electrical discipline know about this unless they are monitoring the Mechanical Equipment?
Another common workflow is for the Structural Engineer to copy (but not monitor) the Architectural elements they need to take ownership of (slabs, structural walls, and structural columns belong to the structural discipline, but the finishes belong to the architect). If the architect has created a floor that is modified, however, then the copy results in the original definition, not the modified one. Be aware of this as each floor must be inspected to see if it conforms to the original intent of the Architect. If it does not, then the structural discipline must modify their floors to conform.
Here is the modified architectural floor:
Here is the floor when copied and monitored into the structural model.