Suicide rates reduced by a third in Britain merely because one easy method became unavailable? In other words, a large minority of would-be suicides didn’t even need to be convinced by someone else, they just needed less time to convince themselves than it would have taken them to find a slightly less convenient way of killing themselves.
Not that I don’t think that most people who plan to kill themselves will tend to think better of it as time passes, but it’s a mistake to assume that trivial inconveniences only prevent people from doing things they don’t really want or believe are good for them.