To give one (admittedly not conclusive) datapoint: almost all US Presidents have been taller than the average American male, many of them exceptionally slow (Lincoln was 6'4"!), and the effect has become more pronounced in the modern era (height was less of an advantage in the days when there was no TV or photography so voters had less of an idea what you looked like.)
Also, the taller presidential candidate is statistically more likely to win the election: "In the thirty-one presidential elections between 1900 and 2020, twenty of the winning candidates have been taller than their opponents, while nine have been shorter, and two were the same height. On average the winner was 1.1 inches (2.8 cm) taller than the loser."
https://en.wikipedia.org/wiki/Heights_of_presidents_and_pres...