I was about 2 miles off shore of an island in a 21 foot Boston Whaler. Due to a storm miles away, we had swells that measured 20-30 feet crest to trough. The wind was blowing the usual 24 knots and it was sunny. A wave came through that was nearly twice the height of the others and with a blowing whitecap. The Whaler was a light boat and rode over the wave, but we got wet and damned near dirty, if you know what I mean. I wasnt much of a sailor at the time and didnt think twice about it, other than thinking it was a freaky wave. It stood out from the others. I can imagine rogue waves that can sink a ship.
The Titanic was big enough to ride three waves and thus was relatively stable in pitch on the open ocean. A rogue wave, though, would be single and if it came from the side might roll the ship severely, maybe beyond the point of stability.
You have big brass ones. I would have moved - to Montana.