Yes indeed! I would take Lightoller anyday of the week. I mean, he wasn't fictional anyway, that's a good start. British is always better, because somehow they sound much more charming (and Jack could have used some charm.) And Lightoller's adventures could give most gentlemen, fictional and non, a run for their money.
Plus, even a strong girl such as I doesn't mind the idea of being picked up by a nice sailor. Especially since I have a bad leg myself! Jeez, maybe I should go on ships more often...