According to a study from Poland based on medical records, tall men have notably greater reproductive success than short men. This other study found the same. The only source that paints a less dramatic picture is this one, where they say short men only have two fewer partners compared to tall men, but that's from a self-reported online survey where even the page itself admits the faults of such a method.
Whatever the case, if we look at men with the fewest partners, I think this helps explain why there's a noticeable amount of males (such as those in the incel community) complaining about height in the sexual market. Keep in mind how one in three young men receive no intimacy all year nowadays (although this is also just a survey, so how much weight it holds depends on who you're asking). Either way, the point is that while a short guy with five partners may not care that his tall counterpart has seven, a short male with zero partners might have had one or two by now had he been taller. Inversely, many of the tall men out there who have only had a couple of partners might still be virgins had they been a foot shorter. I also wonder how old the participants in these studies are, because in recent times, researchers claim the Dutch had a height increase due to women mostly choosing the tallest guys, and men who list their height as 6’ in their bios get the most matches in online dating (keep in mind around 40% of couples today allegedly first met online). I wouldn't be surprised if dating was easier for short men in the past, before online dating, sexual liberation, and higher income gave women more options.
This is also only looking at the quantity and not the quality. If we look at Harvey Weinstein's partner count, it's probably more than a handful, but how many of those women genuinely found him attractive? If some ugly old guy used money to sleep with 100 women, is he more attractive than a male model who wooed fewer women using his looks? I've seen some guys cite research claiming women orgasm more with wealthy men, but this was later debunked by the researchers themselves. If there's any link between wealth and pleasing women, it's probably due to how tall men are more likely to be richer.
Fact of the matter is, apparently women report happier marriages with tall husbands, and infidelity studies show that when women cheat, they are more likely to do so with someone who is taller than their official partner. Also, short men do more housework compared to tall men, but men who do more chores tend to receive less sex.
Short men also have a 24% lower chance of earning less than their spouse, which is curious considering how tall men make more money on average, so you would think tall men would be the ones less likely to be poorer than their wives. The researcher of these findings theorizes:
Related reading: “Consider a man who is 5' 2" tall. In order to be as desirable to a woman as a man who is 5' 11.5" tall and who earns $62,500 per year, he needs to have an additional income of $269,000 (i.e., he needs to make $331,500 per year).”"On the income side, if you think of marriage as a market and tallness as a valuable commodity, short men “make up” for lacking it by earning more money. If you take the model further, the authors write, the results indicate that by “the perspective of relationship exchange models, this indicates that the tallest men exchange their attractive attribute (height) for better-educated spouses, while short men are unable to do so.”"Short men have a 24% lower chance of earning less than their spouse, and are less likely to be equal earners. Each additional inch of individual height for a man is negatively related to proportional income with a shorter spouse."“This further confirms an existence of height-based status exchange in which short men compensate for their lower physical status with higher proportional earnings, while tall men appear more likely to use their status to attract women with higher relative earnings,” the authors write."