Maybe focus on addressing critical societal issues instead of blaming a blog platform? This narrative is insane.
It's not the sort of problem where you can easily engineer away the underlying causes so it makes sense to deal with the social manifestations. some social causes can be engineered away, but in many respects suicide is a radical political act that's at odds with deeply ingrained societal ideology (eg the extremely attenuated legal rights of juveniles in the US) which are a) not amenable to short-term change, and b) not so simply causal that change will automatically lower suicide rates.
When someone commits suicide and it gets a lot of attention there is an increase in suicides in the following weeks.
That's worth talking about.
When the news covers shoots (or stories like this) they ARE trying to attract more viewer, it's a very different thing IMHO to just leaving up posts and allowing users to share. I see Tumblr taking down posts extremely disrespectful to the deceased. Let's not pretend a blogging platform is to blame, instead let's blame the real people at fault: the parents and the communities that drove these kids to what they saw as their only option.
If a site bans pro-anorexic content they've already said they're happy to restrict free speech if there's a strong enough protective need.
This might just be my privilege leaking, but I also wonder if spending so much time documenting and discussing injustice depresses people and makes them feel hopeless. There is a very strong contingent on Tumblr that exists to find something to be outraged about every single day.
I don't mean we should whitewash discrimination and injustice, but I seriously doubt wallowing in it helps.