If I may throw in my two cents as well, I think saying anything other than "love" is silly, redundant, and (perhaps worst of all) plain old bad writing.  The article for "Titanic" doesn't specify that Jack and Rose felt "physical attraction" for one another.  There is no need to add this phrase as it can be taken as a given in a story about adults that "fall in love", and "lust" is just insulting in this context.