Of course, and apologies for the lack of clarity - an Echo caused by a past-life parallel indeed ought to return something that a character would be "reminded" of by the occurrence.

That said, would Roxy have solid memory of Dirk being around her cats? If so it'd be good to go - if not, an alternative Echo should be preferable, as the mutation of Roxy's cat is a tad specific as a memento of the world that she and DJ are reincarnated from.