Plugin ready : https://gitlab.com/SondagesPro/RemoteControl/extendRemoteControl/-/tree/exportReponseFiltered

Easy to adapt :

        $aSFilters = array();
        if(!empty($aFilters)) {
            foreach($aFilters as $column => $value) {
                if(in_array($column,$aFields)) {
                    if(is_array($value)) {
                        $quotedvalues = array_map(
                            function($val) {
                                return Yii::app()->getDb()->quoteValue($val);
                            },
                            $value
                        ); 
                        $aSFilters[] = Yii::app()->getDb()->quoteColumnName($column)." IN (".implode(",",$values).")";
                    } else {
                        $aSFilters[] = Yii::app()->getDb()->quoteColumnName($column)." LIKE ".Yii::app()->getDb()->quoteValue($value);
                    }
                }
            }
        }

and
$sTempFile = $oExport->exportResponses($iSurveyID, $sLanguageCode, $sDocumentType, $oFormattingOptions, $aSFilters);

But i don't want to take time to create a test :D