They are not even remotely the same thing, one is become widespread(drag hours)the other relegated to minute portion of population spearheaded by mothers living vicariously through their daughters. The other centers around introducing primarily, little boys, into the orbit of sexually deviant adult males engaged in sexually explicit displays of that deviant behavior!
Curiously, it strongly appears these mother types pushing their little girls into the beauty pageant universe, are the same exact ones intent upon introducing their little boys into the drag queen scene, likely an attempt to manufacture little girls out of them, regardless the drag queen scene dwarfs the beauty pageant scene by order of magnitude as it encourages the widespread involvement of little boys with "adult males" in various stages of undress!
This is precisely the linkage you attempt, it falls absolutely flat....