CPU Overloading due to some hooks

This code is causing your replace_authors_name_attributes() function to run every time a page is visited on your site, so yes, your hooks are running:

schedule_authors_consistency() {
    if (!wp_next_scheduled('consistent_author')) {
        wp_schedule_single_event(time(), 'consistent_author');
    }
}
add_action('init', 'schedule_authors_consistency');

Since you do this three times and your code queries every product each time this is going to absolutely hammer your server.

If you only want the code to run once you need to save something in the database telling you that the code has already run, and then check whether that exists before running any code:

schedule_authors_consistency() {
    if (!wp_next_scheduled('consistent_author') && !get_option('consistent_author_has_run')) {
        wp_schedule_single_event(time(), 'consistent_author');
        update_option('consistent_author_has_run', '1');
    }
}
add_action('init', 'schedule_authors_consistency');