That may be the case. The personality traits are mostly uncorrelated with one another.
I was trying to give an example of what a successful multi factor model looks like (the Big 5) to then contrast it with a multi factor model that doesn't work well (theories of multiple intelligences).
I was trying to give an example of what a successful multi factor model looks like (the Big 5) to then contrast it with a multi factor model that doesn't work well (theories of multiple intelligences).