Yes, G ignores the stylesheet whether it is there or not. Other search engines will do the same.
However, I'm still curious why (for example) http://4visions.nl/wp-content/plugins/xml-sitemap-feed/xml-sitemap.php will access the plugins main PHP file directly (resulting in a predictable error) while on your site http://successfulebaybusiness.com/wp-content/plugins/xml-sitemap-feed/xml-sitemap.php returns a 404 error as if that file does not exist at all...
