What does lack of language lateralisation signify? Evidence of fluctuating asymmetry rather than hemispheric equipoise on non-lateralised tasks

In a study of patterns of language laterality in left- and right-handers, Woodhead et al. (2021) noted that several tasks showed no bias to the left hemisphere in left-handed individuals. This might appear to suggest that these functions were mediated by the two hemispheres working together equally - what can be termed "hemispheric equipoise". Here, I consider an alternative possibility: that individuals show lateral bias on these tasks, but the bias can occur to either left or right. - a form of fluctuating asymmetry. Further analysis of the distributions of data from individuals in Woodhead et al is compared with simulated data. The pattern of results suggests that the impression of hemispheric equipoise may be an artefact of reliance on group data: even though the group mean does not differ from zero, a high proportion of individuals are biased to left or right.