Damocles, Barbies have been around for decades, well before TV became as important as it is today. So they had influence then outside of what was shown on TV. And the images on TV have changed over time as well, to where they seem to be a lot more "sexy" than they used to be. Miss America was once a year (and lots of us didn't watch it); dolls were played with daily by many children. (Moi, I tended to stick to stuffed animals... and I had dolls other than Barbie... but I did have a couple Barbies)
Since you have never been a little girl, playing with dolls who are "prettier" than you can ever hope to be; since you haven't seen messages aimed at you that say "thinner is better" and "you should look like Barbie" - unless you've done some kind of sociological study in this area, this may not be your best place to argue.