The onomatopoeia you've shown are all in kana. I'm wondering about kanji that are spelled with the くりかえし (kurikaeshi) symbol 々.

For example, 色々 or いろいろ (iro-iro), meaning "various". Or for example, 時々 or ときどき (toki-doki), meaning "sometimes". Could these be considered a 4th type of onomatopoeia?