How to view all posts of current day as default in admin

You can try this modification to your code snippet:

function add_post_format_filter_to_posts( $query ) {

    global $post_type, $pagenow;

    // if we are currently on the edit screen of the post type listings
    if (    is_admin() 
         && $pagenow   == 'edit.php' 
         && $post_type == 'shop_order'
         && ! filter_input( INPUT_GET, 'filter_action' ) // <-- We add this check
         && ! filter_input( INPUT_GET, 'post_status'   ) // <-- and this one
    )
    {
        $query->set( 'date_query', 
            array( 
                array(
                    'column' => 'post_date_gmt',
                    'after'  => '1 days ago',
                ) 
            ) 
        );
    }
}
add_action( 'pre_get_posts', 'add_post_format_filter_to_posts' );

where we only do the query filtering when the GET parameters filter_action and post_status aren’t set.