most all materials will scratch plastic with coated lenses over time. I use a micro fabric cloth from lenscrafters works great without liquid and can be washed when dirty
Three comments: I have always heard that since paper is made from wood pulp it can scratch glasses.
My glasses were tuning cloudy when I cleaned them and when I told my optical store what that I was using alcohol with a little Dawn in it they said the alcohol reacts with those coatings and is causing the cloudiness.
They said if I am going to make my own to use distilled water with a few drops of Dawn or any dish washing liquid in it and that has solved my problem.
I had an old flannel nightie that I cut up and use to clean my glasses. There are commercial products but soap and water does it for me letting them dry then polishing with the flannel
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