wp_http_supports( array( 'ssl' ) ) yeilds true on a local server

The way I see it is that wp_http_supports() bases its test on the “first availabel transport” method.
If that is CURL you might even have SSL support without knowing it – depending on your CURL installation.

Maybe this q&d check gives you more infos.

$objFetchSite = _wp_http_get_object();

$transport    = $objFetchSite->_get_first_available_transport( array('ssl' ) );

// see which method WP is preferring in your environment.
var_dump( $transport );

// if curl is tool of choice check the meta data
if( preg_match( '#curl#i', $transport ) ) {

  $version  = curl_version();

  // take a look if your curl version CAN handle SSL
  // something along the line on ssl_version...
  var_dump( $version );

}
exit;

So it’s not about whether the WordPress installed site can be accessed with ssl but whether the site can access external servers with ssl.

Thanks for the info.