That is a study on reproductive succes i.e number of children, the paper makes an assumption in the very first sentence of the abstract that Human male height is associated with ... potentially with reproductive success. This paper doesn't measure attractivness from what I've read so far rather it examines the link between height and number of children. I'm not aware of any link between attractivness and reproduction -I don't know anything that points to that more attarctive people necessarily have more children.
Even in the introduction the study clearly states that tall men are significantly more attarctive than average and short men:
QuoteHuman males are ± 8% larger than females (Gray and Wolfe 1980), and male body size (i.e. height) plays a role in both human mate choice and intra-sexual competition. Women prefer taller rather than shorter men in online dating advertisements (Salska et al. 2008), questionnaire studies (Fink et al. 2007) and lab-based preference studies (reviewed by Courtiol et al. 2010), and these preferences seem to translate into real word decisions: taller men receive more responses to online dating advertisements (Pawlowski and Koziel 2002), are more likely to obtain a date (Sheppard and Stratham 1989), are more desirable in a speed-dating setting (Kurzban and Weeden 2005), have more attractive female partners (Feingold 1982) and are more likely to be married (Pawlowski et al. 2000).
So by linking that one paper I'm afraid you've proven very little but thanks for adding to the discussion I appreciate it -seriously I do.