The louse-model is painfully lacking in correlation, as is the presence/absence of hair idea. Denuding is a social variable, in no way shown to be universally normative, whereas male and female hair growth is generally consistent (greater or lesser among broad genetic groups, but universally < in males, > in females). The ready adaptation of lice does correlate well with clothing shared, and passed from decedant to family, and rarely washed, which is typical of both underdeveloped subsistence agrarian-based life, and dense urban populations and scavenging.
The logical fallacy, in the evolutionary model, is that one would expect to find humans less enthusiastic about odor retardants, washed clothing and hair reduction, particularly in increasingly urbanized environments where industrial odors are pervasive and overpowering. I.e., trying to make facts fit the theory.