Let's flip the hypothetical -- if someone googles for suicide info and scrolls past the hotline info and ends up killing themselves anyway, should google be on the hook?
I don't know this for sure, but also I'm fairly sure that google make a concerted effort to not expose that information. Again, from experience. It's very hard to google a painless way to kill yourself.
Their SEO ranking actually ranks pages about suicide prevention very high.
The solution that is going to be found, is they will put some age controls, probably half-heartedly, and call it a day. I don't think the public can stomach the possible free speech limitations on consenting adults to use a dangerous tool that might cause them to hurt themselves.