This depends very much on the site. Hype is not great for 'everything', and of course it has it's limitations at the moment, but as I am sure you can see from recent threads on here we are breaking new ground with 3D scenes, Dynamic Data Driven content, and apps from all shapes and sizes.
Which brings me back to the 'depends' on the site. The Nakuru example is the best example I have seen to show responsiveness of Hype and shows it could do a whole web site, even shop with Shopify. But Hype in my view is geared for easy layout creation, crossed with great animation effects. Rather than having Wordpress (boo) and 20 plugins that conflict.
Push Hype to it's limits, see how far you get