It is part of social manipulation, but not by Gilette. It goes back to the cult of youth, which became part of european culture in elizabethan times. Shaven legs and armpits on women makes them appear girlish, and so attractive....if you sign up to the cult.
Men, too are suckers for this sort of thing....facial hair is shaven off, with extreme discomfort in some cases, simply to satisfy a social norm.
Back to the armpit thing though...one proven fact is that shaven armpits are less smelly. Though why it should be just women who want less smelly pits is beyond me.