Lightweight cron conflict with Content Access module

When Content Access is enabled, Scheduler lightweight cron is unusable for an anonymous user.
It's a problem because cron job is launched as a Drupal anonymous user and nodes can't be published at time.

It seems that Content Access removes the line which grant access to the node in node_access table, when the node is saved with a scheduling time.

See in SchedulerManager::publish()

      $query = \Drupal::entityQuery('node')
        ->exists('publish_on')
        ->condition('publish_on', REQUEST_TIME, '<=')
        ->condition('type', $scheduler_enabled_types, 'IN')
        ->sort('publish_on')
        ->sort('nid');
      $nids = $query->execute();

This query part seems to be added by Content Access when Scheduler selects nodes to be published :

... AND ( EXISTS  (
    SELECT na.nid AS nid
    FROM node_access na
    WHERE (
      ((gid IN  (0)) AND (realm = 'all') )
      OR( (gid IN  (0)) AND (realm = 'content_access_author') )
      OR( (gid IN  (1)) AND (realm = 'content_access_roles') )
    )
    AND (na.grant_view >= 1) 
    AND (base_table.nid = na.nid) ...
  )

This query solves the problem for one time and one node ([nid]) :

INSERT INTO `node_access` (`nid`, `langcode`, `fallback`, `gid`, `realm`, `grant_view`, `grant_update`, `grant_delete`) VALUES ('[nid]', 'fr', '1', '0', 'all', '1', '0', '0');
[nid] is for the example.

I'm not sure that the problem is only due to Content Access, so this is a duplicated issue from Content Access issue page (https://www.drupal.org/node/2865787).

Thanks.

Enzo