I think it would make a bit of a difference in the fact some people would stand in line, the ones that really wanted it would at least.
The pro lifers? With all of the pro lifers in this world, how and why is there so many poor/homeless/sick people around? Bottom line is its your life, yours, not someone else's so why would or should they care about someone deciding they have had enough?
The philosophers, they can rationalize how morally wrong it is all they want. Again, are these people rushing out to help those in need? Armchair rescuers don't get much accomplished but sure have an opinion on whether someone chooses to die.
I think the world would stay pretty much the same, I'm sure a healthy amount of 90 plus year-olds wouldn't mind turning the lights out on life at that stage.
All of this stuff is reasonable, if a person wants to end their existence, it's a personal choice. When you think of it, a Dr saving someone's life is essentially playing god in a way. They are interfering with a process and how is suicide any different?