It is not clear that Vedism was created before Jainism, which has a strong archeological presence in South India.

There is also speculation that Shaivism is much older and was merged in to Hinduism quite late, some what contemporaneous with the elimination of Brahma (Brahmism) as a deity to be worshipped.

Also, it is weird to talk about left/right wrt history. History is just history, not left or right. In the Indian context, left has come to mean the actual history by historians, while right implies pseudohistory of PN Oak, out of India hypotheses and various other fantasies.