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Wall-E (the character) is a great demonstration of how being curious about the world echoes our level of care for it. And that caring can quite literally course-correct humanity His playful fascination with what humans left behind, his ability to find "new" on a dormant planet of waste refuse-- he continues to care and be amazed by and change things in a world that has not effectively changed for about 700 years. Wall-E commemorates artifacts of life by treasuring them on their own special shelves in his home. He lovingly makes sure The Plant is secured in a way that won't crush it as he's going home. He accidentally runs over his cockroach and worries about it. He tries to make an inactive Eve comfortable at his expense, not knowing when or if she will ever wake up again.
Wall-E has such an impact on Eve and other passengers on the Axiom because he invites them to care about small interactions they took for granted. They make meaningful connections and changes in their own directive because-- simply by being interested by them and what they're doing-- he offers a new perspective of looking at themselves. (Remember when he gives the elevator robot that little wave and it's so taken with that gesture it starts to copy it? It was seen and acknowledged when its role has always been to punch numbers.)
The spark that Wall-E shared with Eve, I think, is not only symbolic of his love for Eve (though it is clear he loves Eve more than anyone). It was that care. It has to be that same care. Because if his little acts of wonder and determination inspired every other character to break from their programming, who's to say it can't overcome a factory reset?
Oh, and "curiosity" and "care" have the same etymological root, apparently