Wp-cron works, but does not publish pending entries, how to fix it?

Question

PHP

wp-cron fires on a WordPress site, but no pending posts are published. There is wp-supercache and a few other plugins, but on other sites they did not cause problems. Hosting is a dedicated server, consider that there are no restrictions. I asked technical support - they looked at the logs, they said that the cron was working.
The most interesting thing is that when the cron is forced to run via /wp-cron.php?doing_wp_cron and /wp-cron.php, the entries are still not published.
Help!

Answer 1

Workaround is to enable ALTERNATE_WP_CRON, add to wp-config.php:

/** CRON https://codex.wordpress.org/Editing_wp-config.php#Alternative_Cron **/
define('ALTERNATE_WP_CRON', true);

Write the entire list of installed plugins, I caught the same problem, but have not yet figured out where the legs grow from. M.b. supercache, maybe woocommerce, search