A lens cap won't protect you from a kids finger, from a tree branch, or one I put my camera and lenses in quite frequently, strong bursts of sand and salt water. Or what about when you can't use your hood because it interferes with the flash, or the focus assist light? 2 of my hoods are big enough to cause AF to fail in the dark because they block the light.
A lot of people shout from the roves, "It's another piece of glass on your lens, FEAR IT, FEAR IT."
To which I reply, Consider how many elements your lenses have. Glass elements which have been curved, bent, sanded, in all sorts of shapes and by all sorts of machines. Now do you really have so much to fear from a single piece of flat (i.e. far more easy to produce defect free) glass, that is much thinner than most lens elements?
People base their hate often on very cheap filters which do affect image quality quite a lot. But you get what you pay for.
As an engineer I would say do a test and make up your own opinion if the image quality is worth you potentially having a big scratch on your lens. Fortunately I have done such a test for you:
http://www.thephotoforum.com/forum/...100830-more-hoya-filter-comparison-tests.html