Would the Titanic have become this known if it hadn't sunk?

I'd argue not. How many ships of this era do you know about? I'm willing to bet that you only know of two ships; the Titanic and Lusitania, MAYBE the Empress of Ireland.

Just to illustrate my opinion, here is an image that I find very ironic. http://upload.wikimedia.org/wikipedia/commons/b/be/Olympic_and_Mauretania.jpg That's Olympic (left), elder sister ship to Titanic and Mauretania (right), younger sister ship to Lusitania. This is shortly after the White Star Line had been merged with Cunard in 1934. They decided to scrap the older liners so these two were docked up and sold off in 1935.

I find it ironic because here are two sister ships with much more successful careers than their sisters yet were completely overshadowed by them and forgotten explicitly because their sisters were failures. Think about it, what other aspect do you know about these two/three unrelated to their sinking? Without looking at Wikipedia, what impressive feat(s) did Olympic, the first in and namesake of the class, accomplish?

I will say that it's often not fair what ship disasters get remembered, for example the Cap Arcona, Wilhelm Gustloff or Dona Paz.