I find the Japanese optical grease to be a minor disaster. The oil separates out from the grease, this leads to: fogged glass; oily diaphragms; and dried-out grease in the helical.
Nye sells a damping / optical grease, I have no experience with it.
I use Corning vacuum grease, there is no oil and so: it is non-volatile and doesn't produce vapor that can fog a lens; it doesn't get into the diaphragm; and it doesn't dry out. I have a jar dated in the early 70's and there is no separation or drying.
Amazon - vacuum grease