Shellite, lighter fluid, camp stove fuel, naphtha (and many other names)... all variations on a theme.
This stuff is great for dissolving off oily or greasy deposits, and it is highly unlikely to compromise any waterproof coating on the pad or make it sticky.
But typically deposits on pads are dried crud and mineral deposits from saliva. These do not dissolve in naphtha.
An alcohol or simply water with a bit of detergent may do better for crud. Detergent may compromise a pad's waterproofness.
Alcohol may make certain coatings (more) sticky.
Mineral deposits would need acid (eg vinegar or citric acid) or abrasion to remove them, and the result would likely be a leak from a tiny dent in the pad that the deposit used to occupy.
Blue/green deposits of verdigris or similar tend to be waxy. I have found that alcohol tends to work better than naphtha.
My citrus oil container has really sticky deposits where the stuff has "dried" around the neck. As with all vegetable oils, it eventually polymerises to a sticky consistency like half-set varnish, and nothing seems to dissolve it. Hence I would never use a vegetable oil on a pad, no matter how pretty it made the pad look initially.
I found Dr.'s Pad Cleaner unacceptably smelly.
I have expert advice that Neatsfoot Oil initially softens oil, but set the leather up to become increasingly brittle.
Somebody here once suggested using 1200 grit sand paper, drawn across the pad, as being a suitable abrasive to remove a lot of the foreign material.
I was initially horrified, but have since accepted it as not such a bad idea, to remove much of the visible deposits. It is just a little more abrasive than the oft-touted USA bank note. (In New Zealand the bank notes are plastic). Use the sand paper to clean up the edge of the tone hole as well.