Location still matters. A stroke in the wrong patch can take language, movement, or vision with it. In most right-handed people, language processing is heavily left-sided. Spatial attention often favors the right.
What does not show up is a clean personality map. Harvard Health notes that if you scanned a mathematician and an artist, you would not expect an obvious structural split, and in large groups no clear pattern emerges.
The 2013 University of Utah study led by Jared Nielsen put that claim to a harder test. Researchers looked at resting-state brain scans from more than 1,000 people between ages 7 and 29, dividing the brain into thousands of regions. They found no evidence that some people are globally left-dominant or right-dominant. The authors concluded that "left-brained" and "right-brained" describe a figure of speech, not wiring.
Their paper still found lateralized hubs and networks (language regions on the left, attention networks on the right, for example). The mistake is treating that local specialization as a whole-brain identity badge.