I kinda agree with this, though I think there are actually strong, independent women who are open and honest about their struggles with things like self-image, insecurities, etc. 

I have a lot of women in my life who I consider strong, independent badasses *because* of their ability to be honest and vulnerable about their insecurities. They are courageous enough to face their issues head on. They are able to be themselves, in all their imperfectness, and it attracts people to them.