<h1>My page title</h1>
<strong>My page is the best page on this website.</strong>
<header>
If your heading is a paragraph you should use a <p> instead.
That's what we have been doing for ages. I don't see the need for a new tag. HTML5 already add semantic tags. Before, it would have been the same as this snipped I posted but without the <header> tag. Now that this tag exists there is no confusion at all. Web crawlers should be smart enough to know that the <strong> that that is in a header right next to a title is a heading.
Hell, even <hgroup> has been deprecated because we don't need those tags.
But what does that have to do with the original article? The problem it's discussing is the lack of a context-dependent outline algorithm for h1-6 elements in modern browsers.