Why don’t they cut down Suicide Forest in Japan?

I’ve been thinking about this a lot, especially since that idiot Youtuber incident. And I thought even the name “suicide forest” sort of encourages it, so why don’t they just knock it down? Ordinarily a forest isn’t somewhere I’d go to kill myself, but it isn’t somewhere I’d go for a laugh either, but if they called it “funny forest” I might walk through and have a bit of a laugh because that’s what the name suggests. Obviously I know that suicide isn’t brought on just by a place name but I don’t think it helps that they have a designated place for it.