I hate to be That Guy, but HTML Tidy tells me his page has 26 errors, mostly related to proper nesting of elements. It's just too easy to make sure your HTML is valid to let his "Attention to Detail" commitment slide.
True, on the other hand, including a doctype still makes sense to avoid quirks mode. (There'd be less errors if he'd use html5 doctype though.) And as long as it renders properly in A-grade browsers you're good to go.