No, they're not exactly the same. Webtoons can come from various countries and have different styles and themes. Manhwa specifically refers to Korean comics.
Webtoons can be seen as comics. They tell stories visually, have characters and plots like traditional comics, but they might have different ways of scrolling or panel arrangements for online viewing.
Unfortunately, without more research or prior knowledge, I can't tell you who the author of the 'home sweet home novel' is. It could be an indie author or a new writer trying to convey their thoughts on the idea of home through this novel.
Well, 'home sweet home novel' could be centered around the idea of home as a place of comfort, love and security. It might depict different family dynamics within a home, or the journey of a character to find or create their ideal home. It could also explore how different cultures view the concept of home.
The 'home sweet home short story' might be about the warm and comfortable feeling of being at home. It could focus on a family's daily life, like sharing meals together, or the little joys that make a house a home, such as a favorite corner for reading.