What causes it? I put it down to facial moisture and grease transferred from you skin when you hold the camera up to look through the viewfinder. Everyone has it, facial grease I mean.
It is absolutely NOT this.
It is simply a byproduct of the substance itself. The phenomenon is called Plasticizer Migration. Plasticizer is the additive in the molded plastic coating -- a chemical other than the PVC -- that gets in between the chemical bonds of the vinyl. It has the job of keeping the grip soft rather than rigid and slippery like the other molded plastic bits. Migration is just that, the added chemical moves out of its original mix over time, becoming exposed on the surface. This is a huge issue in materials science in general, books have been written on it with regard to vinyl flooring becoming sticky.
The reason camera leatherette made of vinyl doesn't do the same is that it is from the same technology as vinyl roofs on cars, or seats. Well proven, and not really that sticky. But in the case of that era's Nikons, it results in the weird sticky surface because they wanted to mold the grip and the plastic all as one and wanted the grip to feel extra grippy. New technology for Nikon in the era, and they didn't plan well for folks like us using consumer level cameras 30 years later.
Alcohol simply removes the plasticizer chemical. Handling seems to help, too, and I'm not going to guess why, but that is the opposite of skin oils being the issue. Sticky backs happen on cameras sitting on a shelf all the time.