You keep referring to tsunamis as waves when they're actually energy-surges caused by the displacement of the earth's crust. Besides totally different mechanics, the energy transmitted through the ocean by a 9.0 earthquake is several orders of magnatudes greater than the wind-generated waves your basing your advice on.
Would you similarly advise someone to 'duck under' a storm surge? How about a dam burst? A tsunami is much closer to these than a surf wave.
Have you seen any of the videos? Most of the ones I've seen were from Thai resorts, as in these photos. The tsunamis which hit Indonesia, Sri Lanka and India were much larger. I saw one which was supposedly from Sri Lanka. It showed a 10'+ surge going through a city at probably 15 mph. It ran the entire length of the video. No one was going to be holding their breath under that. And if they were unfortunate enough to be out in the water at the time well... where do you think all the water going through the town came from?
As these photos clearly show tsunamis are not waves but entire bodies of water moving ashore. No one's going to be able to duck under or hold their breath through any appreciably-sized tsunami any better than they could a bursting dam.