Thanks, all. It appears that there is no permanent solution. It is likely that the insulation is PVC with plasticizers. Apparently, in the early days of PVC, the use of plasticizers was less well understood, with the result that the combined mixture of PVC and plasticizer is not in equilibrium and is therefore unstable in typical human environments. Thus, there is pressure on the plasticizer and it migrates out to the surface of the PVC, forming the whitish deposit.
There is no known permanent solution as of today, and the only people interested in one are hobbiests and museum conservators. Apparently, conservation of plastic artifacts is a particularly vexing problem for the latter.
John