These studies were done on people much more primitive than ourselves, yet their results are less in favor of tall men than ours. Check them out here: https://unsafeharbour.wordpress.com/2012/01/25/hadza-and-height-preference/
The results are all over the place, much like other "preferences" such as hair color, breast size, etc. Very strange, as modern humans like to justify height worship using "instinct." While these tribes are not total cavemen, as hunter-gatherers, they are much closer than we are. Try conducting these studies on our people. I would bet that every single time, they'd show a massive bias in favor of tall men, yet we are much less primal than the Yali or Hadza.
Contrast all this with height studies conducted on modern women, and the evolutionary claims that come with them ("Women evolved to prefer tall men because they were perceived to be
stronger, and naturally they are happy when they have what they like" ).
This is like examining interracial statistics, then when Asian women couple with white men more than they naturally would, everyone claims whites to be genetically superior. Fact of the matter is that modern humans are too tainted by stereotypes, media portrayals, social status and stigma. I doubt tribes, for example, have labels like "Napoleon Complex" or "short man syndrome." They don't consume movies where tall men are portrayed as powerful/romantic, while short men are jesters, sidekicks, etc. The truth is there even without these studies. With them, it becomes blatantly obvious.