The problem with this assertion is that in the US, the average height is 5'10" for men and 5'4" for women'. Contemporary measures of standard deviations for American height vary a bit, from about 2.5 inches to 3 inches. For the sake of argument, we'll error on the high end and call it 3 full inches. If we take a sample with an equal number of American men and women and match them randomly with someone of the opposite sex (presuming the height distributions for both men and women are Gaussian, which is a pretty safe assumption), in only about 8% of couplings will we find a man paired with a woman who is taller than he is.
Consequently, the fact (and it is as much) is sub-optimal for use as a starting block in engaging in HBD-related conversations with those of a PC mindset because even if height was a neutral rather than a desirable trait in men, the vast majority of men would be taller than the women they are with.
Further, tying Game to HBD-realism is inherently flawed, since Game relies on men being able to train themselves to negate the realities of HBD. This is why Game most appeals to (and benefits) men who traditionally, due to the realities of HBD, have difficulty attracting women. Game gives them ways to appear to have higher levels of status than they actually do, by making themselves out to be more popular than they actually are, more self-assured than they actually are, commanding more resources than they actually do, etc. To the extent that Game is effective, it is because human biodiversity does not imply genetic determinism, only predispositions and general patterns that, to varying degrees, can be 'overcome'.
Game functions not on dwelling on biological realities and their inherently limiting factors like HBD does. To the contrary, it relies on the same optimism that OneSTDV describes political liberalism relying on:
Liberalism feels good because anyone can succeed. And this underpins its success; realist ideologies advocate fatalism and no one likes that.