Yep, react is indeed a library. Part of the confusion comes from a fact that react community was keen to hijack "react" name and slap it onto their own projects

Yep, react is indeed a library. Part of the confusion comes from a fact that react community was keen to hijack "react" name and slap it onto their own projects, for example there were react router, react query, react table, etc., so one could have get a feeling that react was like full-fledged framework, while most of these "react" projects were not affiliated with react the library in any way.