I've posted this bug on the tester's forum. It is present with the rotate tool as well as the move tool. When a group or component is "selceted" you can't inference (click on) a point that is within the selection. It is particularly annoying in a rotate/copy or move/copy. This is not the way it was in older versions so it is definitely something that got broken in V6. I knnow they did pay attention to the bug and have it on the list to fix.
BTW, the bug works differently on different graphics cards I have found ( I teach across Canada and the same excercise behaves differently on different computers). With some Graphic's cards it works fine. With others, if you find the inference point first (touch it with your cursor) and only then select the component and then click on the inference point, SketchUp will remember the found point. On other graphics cards that doesn't work either and you need to draw a segment to the point ( outside of the group or component) and then you can find the inference when the component/group is selected. Bummer, but that is the way it is.