Google must surely be able to tell the difference between the original site and copying site because of timestamps. How would an Adwords campaign change that?
Maybe Google can tell the difference, but, as I did SEO some years ago, we didn't relyed on it. Duplicate content was considered a problem regardless of who published first.
Duplicate content is a problem for organic rankings. In payed search it may be a problem for the quality factor (not sure). But even if it impacts the quality factor you just have to pay more to achieve the same result.
