I don't know for sure but I suspect, fuel DOES play a largely unrecognised role in top ring lubrication.
To understand why, you need to know that most modern gasolines contain a cocktail of 'performance' additives & that most of these additives have their roots in the lubricant additives business.
The primary additive in fuel is something Fuels people annoying refer to as Detergent. This has nothing to do with the overbased metallic detergents you get in oil but is very like the polymeric ashless dispersants Oily people like me use to combat piston deposits & sludge. In addition, you'll find both Phenolic & Amine based antioxidants in gasoline, both of which have been used in lubes for donkey's years. It's been 25 years since I last dabbled in fuel additives but back then, it was also the norm to mate up the additive components with a 'carrier oil', typically a heavy 500SN base oil.
I have often pondered on what happens to these additives in the combustion chamber. Compared to the light hydrocarbons that are native to gasoline, the additives are all relatively heavy (especially the ashless dispersant & carrier oil). Do they burn? Given that gasoline burns are so rapid, I suspect not. If they don't burn, where do they go? Might they, as heavy liquid particles get swirled out towards the relatively cold cylinder walls & condense? It's possible. If so, are you in effect depositing a 'perfect' layer of non-volatile, heavy oil on the wall to lubricate the top ring on it's upward stroke? It sort of makes sense to me!