IMO, CLP, while staffed with nice folks, is a waste of precious time.
We HAD computerized w&b prior to CLP. If there was a problem, it was resolved on the spot - no phone calls, no arguing about what can and can't be done, no turf wars. Best of all, the flight would not close out if the ac was overweight or OOB - a nice safety factor.
Moreover, I found the service from CLP on grossed out flights to be uneven, at best. Some guys had worked the field before, and were pretty sharp (still had to waste time with the phone call, though). Some hadn't worked in the field, and they ranged from clueless to arrogant.
Clueless was when they wanted all of the weight in the fwd bin of a 737-300, even though a casket was staged for the flight. You could talk them out of it if they were merely clueless.
Arrogant was when they told you you MUST load the casket forward. I could play passive/aggressive too, and told them we had already loaded it aft, and any delay rearranging things would be theirs. Magically, the plane balanced.
It got to the point where I did a rough w&b on grossed a/c, loaded the a/c to the limits I knew it would operate, and let CLP sort it out.