Sort scheduled posts in ascending order by default

When I go to view scheduled posts, I want the default sort order to
have the soonest scheduled posts on top.

The posts by default are indeed being sorted by the post date in descending order, so if you want the order be ascending instead, then there’s no admin setting for that, but you can use the pre_get_posts hook like so:

add_action( 'pre_get_posts', 'my_admin_pre_get_posts' );
function my_admin_pre_get_posts( $query ) {
    // Do nothing if the post_status parameter in the URL is not "future", or that
    // a specific orderby (e.g. title) is set.
    if ( ! isset( $_GET['post_status'] ) || 'future' !== $_GET['post_status'] ||
        ! empty( $_GET['orderby'] )
    ) {
        return;
    }

    // Modify the query args if we're on the admin Posts page for managing posts
    // in the default "post" type.
    if ( is_admin() && $query->is_main_query() &&
        'edit-post' === get_current_screen()->id
    ) {
        $query->set( 'orderby', 'date' ); // default: date
        $query->set( 'order', 'ASC' );    // default: DESC
    }
}