Serious question, do Korean web comics count as Manhwa? I mean, the difference in media makes it a very different art form. (Although, in the case of Solo Leveling, it started as a web novel)
At least the Wikipedia article counts them as such: https://en.wikipedia.org/wiki/Webtoon.
Good point about the web novel, I have only passing familiarity with the franchise.
As far as community parlance goes, Webtoon is a specific website (webtoons dot com) which is very popular in SK but the word is getting kleenex'd for korean webcomics in general. Manhwa is for published/printed works only.