First, the Titanic sunk in 1912.
Second, these are two events that happened around the same time. That does not mean they are at all related. Titanic primarily carried American and British passengers. The start of World War I primarily involved Austria, Serbia, Germany, and Russia. It's hard to see how British or American Millionaires would have influenced those events to stop the war.
Banking, at the level of being the financier of nations, was a global industry then as it is now. Many of those people at the time were British or American and a number of them died on that boat.
How does having extra bankers stop someone from assassinating an archduke, Austria from sending an ultimatum, or Russia from supporting Serbia? I don't see it.
No, we're talking about 2 out of hundreds. George H. Burr & Co, the Morgans, Henry Goldman, Samuel Sachs and their families, the list goes on and that's just NY - the banking families were numerous.