Honestly I don't think anyone likes traveling during a storm, but it happened to us one horrible day when it rained a lot, October 15th, 2011 when we were going from Cancun to Playa del Carmen, Mexico. We took the beautiful ferry that rocked from side to side that day.
It's an experience that you should have, if you don't get seasick on ferries as quickly as we did. The best part was the free wifi! From there we could send signs of life to our loved ones with photos, but the truth is that if I had to go to Cozumel in this ferry again, I'd do it because of the excellent service. We arrived on time and with no headaches.