I don't know what the creators' intentions were regarding the favicon. It is, however, the katakana "chi" (チ), which corresponds to the name "Chicory". Seems bizarre, but that's the connection I saw.
Katakata, like zhuyin, is "hanzi/kanji written small", just as hiragana is "hanzi written quickly". I see hanzi/kanji, katakana, and zhuyin (but not hiragana) as all part of the same "alphabet" used to build up hanzi recursively. Many katakana are components of hanzi.