Hello @Clement ,
Thank you for posting here.
By default, logs between DCs are not replicated to each other.
At the first glance it seems the timestamp "2021-02-26 13:11:42.000 +00:00" is the time that the messages display.
Or the timestamp "2021-02-26 13:11:42.000 +00:00" is the time that the message reported from AD1 to nxlog on Graylog server (and the same time that the message reported from AD2 to nxlog on Graylog server).
For whether the actual timestamp is the same or not, we can check on both on AD1 and AD2.
Should you have any question or concern, please feel free to let us know.
Best Regards,
Daisy Zhou