A CMS-driven site like WordPress is MUCH cheaper and faster to deploy, as the amount of effort, testing, and of course coding time, is much much less. The possibility of errors and even security weaknesses is much less as well, if configured properly. The navigation and consistency of a CMS-driven site will be pretty much perfect. So simple a cave-man could do it.
The down side of a CMS-driven web site is that the overall design and navigation is constrained, so some of the real flashy 3D animation stuff is not going to be possible.
It's critical to choose the CORRECT CMS platform, as there are differences in the feature-set and ease of use. WordPress is all the rage right now, but there are some instances where Joomla might work better, or a closed-source solution like Ektron or SiteCore may work better in a corporate environment.
The other issue is if you have a very special requirement for some sort of eCommerce or enrollment system as your core website, then it either needs to be a purchased web application to do that, or written from scratch, as there are limits in terms of what exactly you can 'plug in' to a CMS-driven site.