I'm no expert, but I think it makes a huge difference whether you're in a flimsy, wooden ship with even flimsier sails made of cloth, or in a 400m long, extremely massive steel vessel with a reliable internal combustion engine.
Vs. storms at sea it's not a major difference, and if anything the sail boat is in better shape. The real advantage is accurate weather reports to avoid the worst of it.
Why? That sounds implausible. Firstly, the larger a ship, the less affected it is by waves. Secondly, high winds will shred your sails, but without sails it's hard to maneuver .
I'm no expert, but I think it makes a huge difference whether you're in a flimsy, wooden ship with even flimsier sails made of cloth, or in a 400m long, extremely massive steel vessel with a reliable internal combustion engine.