Once the points are added you can redefine the points to an arbitrary location or feature to achieve the shape you need. Wire points based on an arbitrary point on a face are offset a specified distance. They do not update to changes in the model, including changes from positional representations. Like the points used to define pins on parts, points based on existing geometry are not offset and update to changes in the model.
You can also reposition wire work points dynamically or by precise coordinates with the 3D Move/Rotate command.
You can delete individual wire work points or all points at once using the context menu.