Why are you skeptical? Having the resources prominent immediately after someone is thinking about suicide based on external stimulus seems like it could help someone, and even if it only helps one person, that seems like it would be worth it to me.
Frankly I'm skeptical that suicide hotlines are an effective tool, and then on top of that it would have to be the case that sticking the link underneath an article makes people more likely to call it and benefit from it.
What harm would it do to post some Bible passages under such posts? That might help someone. If we’re just doing everything that might help and wouldn’t seem to hurt.