The lens probably did have a coating on it as it had a matt finish to it originally.
I don't fancy the unleaded option so I'll give IPA a go. Isopropyl Alcohol for the lens & the other version for me.
Be prepared to see the markings on it disappear though.
I had one of those sticky lenses that I cleaned and now it's a lens with mystery settings

But you'll see, under the gummy mess is a very nice slick plastic.
So far, I've done that with a USB stick, tripod, back of a Nikon F90x, 28-70 lens, tape measure...
While it requires some elbow grease, it's worth the trouble.