Just my two cents for whats its worth. I hate the fact that some courses don't allow walking. I can definitely understand why they don't allow it on peek times. My local course only allows it after 4 pm and you can't on the weekend. However, if you are a member ( I just found this out), you can walk anytime you want. It has been my experience that any time there was a walker behind me, they are always on my tail.
One more thing, I enjoy walking the course mainly because it gives me exercise and I seem to concentrate and play better.