I think the key for big sites ( apart from publishing speed and software response times during editing ) is the ability to restyle globally. Eventually all website designs start to look a bit dated or tired and a CMS-based system will enable a new template to be applied to refresh a site - quite a challenge with a static site.
On the other hand… most websites have content that itself gets dated and needs a refresh, so having a fast site builder like blocsap can work well for smaller sites where a rebuild is possible. The larger a site becomes, the more difficullt it can be to manage and refresh.
I have worked on websites that are essentially template based fed by bespoke databases, essentially a bespoke wordpress or joomla type system and there content is created by people who have no connection to the final site design and may have no knowledge or interest in web design.
There is definitely a sweet spot for static web sites.