if ( is_active_sidebar( 'sidebar-1' ) ) : ?>

    <aside class="widget-area" role="complementary" aria-label="<?php esc_attr_e( 'Footer', 'twentynineteen' ); ?>">
        <?php
            $cats = get_the_category();
            $cat_name = $cats[0]->name;
            print_r($cat_name);

            if ( is_active_sidebar( 'sidebar-1' ) and
                (strcasecmp('category with no footer widgets', $cat_name) == 0)) {
                ?>
                    <div class="widget-column footer-widget-1">
                        <?php dynamic_sidebar( 'sidebar-1' ); ?>
                    </div>
                <?php
            }
        ?>
    </aside><!-- .widget-area -->

<?php endif; ?>

function remove_footer_widget_area( $sidebars_widgets ) {
                    $cats = get_the_category();
                    $cat_name = $cats[0]->name;
                    if( (strcasecmp('category with no footer widgets', $cat_name) == 0) ) {
                        unset($sidebars_widgets['sidebar-1']);
                    }
                    return $sidebars_widgets;
                }

    see https://chrisblackwell.me/hide-widgets-specific-wordpress-pages/
a few notes:
— I'm assuming that the test as to whether to display the widgets depends on the category of the page, and the page is only in one category.   Modify as needed.
— For historical reasons, `'sidebars'` here really means `'widget areas'`. WordPress is full of anachronisms like this.
— Another anachronism is the function name `get_the_category()`, which gets an array of categories. So it really should be called `get_the_categories()`.
— The second approach copies-and-modifies a template file from the parent theme. But the template is small and unlikely to change.