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This very simple module causes all of your site's internal URLs to be rendered as absolute URLs (e.g., "https://mysite/node/whatever") instead of relative URLs ("/node/whatever"). Some people think this is useful for SEO.
All this does is modify the global base_path variable in an init() hook so that all calls to base_path() will get an absolute URL. So, of course, if you or your module/theme don't use base_path(), you won't get the benefit of this.