The left/right brain thing is pseudo-science and even worse - a false dichotomy. It's much more about cultural snobbery and cultural tribalism around which pursuits are regarded as "more worthy".
Look up C.P. Snow's "The Two Cultures" - it was incredibly influential at the time but also described a prejudice we still labour under. It's pervasive in the English speaking world. I suspect less so in the non-anglosphere West and possibly even less so in Asia.