Jack Sparrow in love with Elizabeth?

I think he might have loved her. Not just lusted after her. But I don't think she loved him at all. I think she was turned on by him sometimes but not in love, she loves Will through and through. But he gave up what he really wanted so that she could be happy with Will. He probably *Spoiler* gave up the Dutchman to Will because he cared for Will (though I doubt he'd ever admit it XD) and because Will and Elizabeth were probably the first people to treat Jack like he was worth something, if only a small something. I think he loved Elizabeth because she was different from other girls...as Knightly put it herself "a 21st century girl trapped in an 18th century world" lol again, he'd never admit it ever