In my point of view, I don't think it would really change that much. There are many things that we accept and understand, but that doesn't mean that we agree with it. Let's take the protest in the US for an example. Though I don't live in the US, there is something that is bothering me. Why is it in every generation, there would be a protest over the same old topic, race? The word 'colour' itself has been in history for centures, and yet we have not looked pass this thing. Same goes for suicide.
Yes, many countries have adopted euthanasia laws, but that does not mean the "taboo-nes" will change. Take a look at the rising power of the Middle East. Sooner or later, and it is unavoidable, it is going to be the next superpower. Their custom is that suicide is a no no. Of course, you can't change a nation just because your country is stronger... can you? Even in Eastern Asia, suicide is under-stable, but not at all allowed. Japan has a suicide forest, but that does not mean they the government allows suicide. They know the problem that is happening, so the only way is to identify what is going on.
And if we look at the world now, at this very moment. We are seeing a change. The governments are already trying their best to prevent thoughts of suicide. Of course, some of us still have depression, but there is a slight change. Back in 1930's when the Great Depression hit, suicide rates hit the 'funny'. Even in '08 market crashed there was a spike in suicide. But look at it now, the governments are trying their best to give out subsidies. This come hand in hand with the people mental health. I guess.
So if the social structure of our society is improving, I don't think the subject on suicide would be more accepted. Maybe just a little.