I don't think that the hemisphere-function division is as straightforward as you, and much of popularized psychology, suggest. From eg. lesion studies the evidence seems to hint that there are some tendencies to somewhat specialized functionality in the hemispheres, but these are quite "vague".
Some quotes from Wikipedia to back this up:
"Broad generalizations are often made in popular psychology about certain function (eg. logic, creativity) being lateralised, that is, located in the right or left side of the brain. These ideas need to be treated carefully because the popular lateralizations are often distributed across both sides."
"Hines (1987) states that the research on brain lateralization is valid as a research program, though commercial promoters have applied it to promote subjects and products far outside the implications of the research. For example, the implications of the research have no bearing on psychological interventions such as EMDR and neurolinguistic programming (Drenth 2003:53), brain training equipment, or management training."
http://en.wikipedia.org/wiki/Lateralization_of_brain_function
Also the study that the article refers to does some quite bold assumptions about how brain works (eg. quite strict functional localization) and the whole concept of "task" is so generally defined that it's quite easy to escape any falsification by modifying its properties.
In general, most of the stuff about psychology/cognitive science that "leaks" to public should be taken with a grain of salt. Much less about brain functioning is known that may appear to a casual reader, or to some self-criticism challenged researchers.