Which kit lens are you talking about? I have the 18-55IS and it is very sharp. It has high resolution at the wide to middle focal lengths when at F8. However, there are real differences in the images you get from the kit lens and the 17-40L or some other lenses. These differences may or may not matter to you. The 18-55IS has lots of distortion and vignettes badly at the wide end. This can be corrected in camera, but there is a price to pay for this correction. The kit lens has high resolution, but doesn't do so well shooting into the sun, and generally has lower contrast than some more expensive lenses.
I get obviously sharper images from a good prime than from the kit lens, but the L zooms can be harder to tell apart from good primes.
The 18-55IS (first generation) is sharper at the wide and middle focal lengths, but not quite as good at 55 mm. The 18-135IS STM may be better at longer focal lengths. Each lens is different.
Note that the 24-105L is a kit lens for the 6D. The 28-135 IS comes in a kit with the 7D.
Which kit lens are you asking about?
Some people really like the 17-55IS and others swear by the 15-85IS. Any advantages these lenses have over the 18-55IS would be subtle at F8.