Factor analysis is a recognized statistical technique and Principal component analysis is a common method of it.Words on a chart derived by successive applications of factor analysis then putting words to resulting successive groupinga. Been there rejected that. This stuff is supported by method more than science therefore the warthog uselessness analogy.
If you think that the Big Five advocates are chasing statistical artifacts, then make your case. Like point to numbers that are easily in the range of random-number simulations.