Only numbness, no pain
Sensation and pain are also conducted through two different fiber paths, so that partial failures can occur here as well. While the pathways for pain reception are not damaged, the pathways for depth perception are in the corresponding area. In the case of disturbances of the fibrous webs, this can lead either to malperception or to loss of the corresponding nerve quality, as is the case with deafness.
Only paralysis, no pain
Likewise, muscle activity and pain are also controlled via two different fiber paths within a nerve. Furthermore, the direction of signal flow in pain is from the periphery to the brain, but in muscle activation, the signal flow is from the brain to the periphery, where the corresponding muscle is located. Again, the failure depends on the location and the exact extent of the herniated disc.
So which fiber qualities are damaged is more or less coincidental. The next topic could also be interesting for you: How do I distinguish a herniated disc from a lumbago?