First, we need to agree on a definition of skid. Let's say that you're shooting a 30 degree cut shot to the left corner pocket with center ball (no English). Because you know about contact-induced throw, you probably shoot the shot as if it were a 32 degree cut shot, and the object ball should take off on the 30 degree line into the heart of the pocket. But, if there is excessive friction, the object ball takes off on something like a 28 degree line (or more) and misses, and that is what we call a "skid".
We generally agree that dirty balls cause more skid, and that would be because of the excessive friction at the point of contact. We also know that acetone cleaned balls have more skid, and I suggest that this is because a clean ball also has more friction. I believe that any oil on the balls would only decrease throw and skid.
At the moment of contact in the 30 degree cut shot example above, the "normal" force at the point of contact is in the direction of the 32 degree line, and that is how the kinetic energy of the cue ball is transferred to the object ball. But the surface of the cue ball is sliding across the surface of the object ball too, so a force is applied at generally a right angle to that 32 degree line. This force is due to friction. When you add the kinetic energy vector and this force vector together, you get the resultant line that the object ball will travel on. Notice that the frictional force is not pushing the object ball, but rather dragging it to the right (if cutting to the left).
Since the cue ball is trying to drag the object ball to the right, the object ball can only resist with 2 things: its inertia, and the friction of the cloth under the object ball. The inertia is a constant. The friction of a new cloth is minimal, so there should be more drag (what we call skid) on a new coth. That would explain why TV conditions and clean balls produce skid.
This could be tested by putting a glass plate on a pool table and wiping it with a light coat of oil to make it very slippery. Now place two object balls on the plate and freeze them together (make sure the contact point is clean). Shoot into them at a 30 degree angle with the cue ball and measure the amount of throw. Remove the glass plate and repeat the experiment with clean balls, and the amount of throw should be less (on an older cloth). The only difference in the two setups is the friction under the object balls, so I suggest that the glass plate would result in more throw. (took 30 minute break here to try it myself) ....I did this on my own table and was amazed at how well it worked. On a seven foot shot, the balls threw about 8 inches when sitting on oiled glass, but only about an inch when sitting on the cloth. Now somebody out there can get a plate of glass and replicate my experiment.