Option to use default title for custom home page

Under normal circumstances, when you go to the home page of a Drupal site (i.e. node), drupal_set_title('') gets called. This clears the title in the content, and in phptemplate.engine causes the site name and site slogan to be displayed in the head tag.

If you set site_frontpage to be something else, however (e.g. a specific node, so as to have a static home page), the title of the node gets used instead, which may not be blank.

I'd like a custom home page to behave in the same way as the default home page, with the title cleared. I'm not sure whether it should be considered a bug in Drupal that it doesn't, but this module looks like a good place to add a switch for this behavior.

Do you agree? If so, I can write the code to make it happen, and submit it as a patch. If not, I'll create my own module, but I'd rather combine with an existing one if possible.