Need functionality with all post list available at edit.php

I have solved the main query:

For WordPress dashboard, I needed the list of all posts related to all post types in:

edit.php?post_type=product

Using the concept of:

edit.php?post_type=product&showall=true

With function in backend function.php

function show_all_posttypes( $query ) {
    if( ! is_admin() ) {
         return;
    }

    if( isset( $_GET, $_GET['showall'] ) && true == $_GET['showall'] ) {
        $query->set( 'post_type', array('product', 'second_type_product', 'third_type_product') );
    }   
}

add_filter( 'pre_get_posts', 'show_all_posttypes' );

And after that my all posts related to three post types: product, second_type_product, third_type_product is listing very well on URL:

edit.php?post_type=product&showall=true

But when I am using its feature to filter on edit.php page with all listed posts then is saying:

Invalid post type

I want to achieve every feature support with my list related to multiple post types list on url based on one post type.

Thanks for support!

Invalid Post Type might be shown,whenever you have a mistake(type or etc..) in 'product', 'second_type_product', 'third_type_product' . Ensure that you have correct words there.