I'm pretty sure those would be termed more correctly as fimbriate projections, not that it really matters. But there are a few of us here who might care, so I mention it. Papillae are more nub-like. Information about the differences is incredibly scarce, but they must be separate at least in some ways since the Flora of China list some lily species as having one or the other, or both. And this is from the first "edition" of the massive treatise, so it is not just the Chinese way of thinking. The first release was a collaboration of world botanists. I don't even know if they do or do not originate from the same floral anatomical part. I bring it up here so there will be more than just my own eyes and ears scanning for answers....