"Both seem terse enough and are meant for inclusion in at the bottom of your web page."<p>That isn't true for Google Analytics. It's designed to be placed at the bottom of the head section:
<a href="http://code.google.com/apis/analytics/docs/tracking/asyncTracking.html#Installation" rel="nofollow">http://code.google.com/apis/analytics/docs/tracking/asyncTra...</a>
"it turns out that the type attribute is optional"<p>It is optional for HTML5, but not for 4.01:
<a href="http://www.w3.org/TR/html401/interact/scripts.html#adef-type-SCRIPT" rel="nofollow">http://www.w3.org/TR/html401/interact/scripts.html#adef-type...</a>