Blogs always have the edge over static websites to bring in traffic. Having a blog added for a static website is very helpful. I’ve recommended the same to several of my clients at work and few SEO friends in other companies. If a client is interested in a blog, I was more than willing to help them out and they are always happy to have someone with good knowledge in Blogging and SEO/SEM together.
Checkout “Putting A Blog on Your Static Website” a post at Daily Blog Tips which is a part of a series of posts on Website Traffic.
I’m sure you would be convinced too.
Happy Blogging!