>>32137518>They have more doujin and fan art than any other pair from Sun/MoonThat's wrong, though.
Right now, Guzma/Moon has two more fanart on pixiv. I know, not much, but just a little while ago, the gap was much larger. Take into consideration that Lillie is inharently MUCH more popular than Guzma, yet the former pairing still manages to be so popular says a lot.
As far as doujins go, there's not that many. So far, I have seen four doujins of this pair. I have also seen three doujins of Lillie with fucking Kukui, of all people. I can also point you towards a single artist who has made three doujins of Gladion/Moon, 曖昧me. And I have seen four doujins of Sun/Lillie. I'm sure Moon/Lillie has more that I haven't come across yet, but they're not as far ahead as you would think.
As for your question, what makes these two popular, I just answered it. Lillie is much more popular than most Pokemon characters. She gets more fanart. And usually, that's with Moon, because Moon herself is also extremely popular, like any female protagonist. It would be strange if two really popular characters, who are also the two closest character in Pokemon period, didn't have a lot of fanart together.
Going by purely percentage, not the quantity, Moon and Lillie don't have any higher amount of fanart together than Hilda and N. Moon shares a 17% of her fanart with Lillie. Hilda shares a 27% of her fanart with N. That's a huge difference. This is all going by Pixiv stats, though, since most of the fanart from Japan comes from there.
tl;dr the characters are more popular, from a more popular game and also happens to be the two closest characters to come out of Pokemon yet, barring Ash and Pikachu.