The spinal cord ends at about l-2, and most common disc issues are present at l4-5, and l-5-s-1.
In order for a disc to affect the spinal cord, we are talking about a problem in the lower thoracic spine, or a rather unusual high lumbar disc fragment, perhaps. Myelopathy
means involvement of spinal cord, so are we really using the term incorrectly here? Ask your doc about this.