No, there's no way. Ajax rendering works roughly as follows under JSF's hoods:
for (String clientIdToRender : clientIdsToRender) {
UIComponent componentToRender = viewRoot.findComponent(clientIdToRender);
// ...
}
However, as the plain HTML <div> is not as a fullworthy JSF component available by UIViewRoot#findComponent(), JSF can't find anything to generate the updated HTML output for.
You do not necessarily need to wrap it in another JSF component, you can also just use a JSF component which generates already a HTML <div> element. That is the <h:panelGroup> component whose layout attribute is set to block (as in, "render a block level element").
<h:panelGroup layout="block" id="name">
...
</h:panelGroup>
See also: