The difference is Barbie dolls don't have an entire community and industry around her telling everyone that being hilariously unhealthy skinny is totally safe and as healthy as a tattoo. And not even to that point, there HAVE been girls that suicided BECAUSE they could not get the barbie body, so really you just killed your own argument.

Look at it like this. If you cousin is in the army and the army brainwashes him into thinking that because he is in the US ARMY he is literally invincible and the authority and everyone else not American is a nazi.. then he goes in battle the first time and decides to rush the enemy straight on and gets lit up, you would say the army killed him. If he was basically lied to, then he follow what he was told, then he suffers for it, then fault lies on who lied to him. And, to dodge semantics, yes of course he is not blame free either, he still chose to listen and made the choice to believe, but again we tend to blame the abuser, not the abused.

Now to your second point, having mental problems is certainly not the fault of the lgb community, but if that community is telling her that her issue is she thinks subconsciously that she is a really a guy or a lesbian and permanently changing herself will solve any of the mental issues she has, well that is the communities fault, and when this girl did all this and NOTHING changed or even got worse because it was never true and she was lied to... well now that just might push someone who is mentally unstable and has been told she is whole now, just might do something extreme to themselves. That is how a community kills someone.