After having selected text by doubleclick/mouse/keyboard the mouse pointer does not change from cursor to an arrow/hand if moved over the selected text. That means that there is no visual feedback that the selection is ready for drag and drop.
This is an ages-old embarassing deficiency that can be seen in Windows- and Linux-versions of OO and LO.
It's imo overdue to finally straighten this out.
I would treat this as enhancement request.
cc: Design team
Yes, please more cursor feedback.