Hello Joris
That is correct; the clone would be created by the ClickDimensions service user. If you would like us to consider changing how this process is handled, please feel free to submit a feature request using the following url:
http://support.clickdimensions.com/forums/356780-Feature-Requests/entries/new
Otherwise, you could avoid this concern by using the copy to static list option on your dynamic list then sending to that static copy.