They do a lot more than leave behind vague identifying traces of your presence.
From the link:
Today, Georges Debregeas et amis at the University of Paris 6 and 7 say that’s only part of the story. In fact the role that fingerprints play in touch is far more important and subtle than anyone imagined.
Debregeas et amis say it looks as if the ridges and whorls in fingerprints filter mechanical vibrations in a way that best allows nerve endings to sense them.
(And yes, the accompanying graphic is total nonsense to me, too.)