Being if dravidian descent, like most of south India, they definitely identify as Hindu and have the same range of fervor from barely religious up to religious nationalist as the rest of India.
Hinduism amalgamated a lot of local religions and philosophies as well, so proto Hindu beliefs and traditions are also part of modern Hinduism.
I didn't read all of the articles, but the last one is local folklore. You can find stories about succubi or other framing of women as people who weaponise sex in a lot of cultures, it's not something unique to local Indian folklore.
The second to last was basically saying that patriarchal values are encoded into religion and used to enforce a patriarchal hierarchy which is true with every religion that is practiced in a patriarchal society. Also, do not understand how they included Draupadhi's SA as an example of something pro rape. That whole incident was perpetrated by the story antagonists and is framed as something so bad a god intervened on her behai to protect her.