It looks like you found your answer On that web page it says:
Issue details
Apps might have issues accessing event logs on remote devices
Resolution: This is expected due to security hardening changes relating to Event Tracing for Windows (ETW) for CVE-2021-31958. This issue is resolved if the local and remote devices both have KB5003671 installed.
Server 2003 is no longer supported. Microsoft has not released any updates in years. They have on occasion released an update for critical vulnerabilities like WannaCry, but I would not expect to see a 2003 version of KB5003646.
https://msrc-blog.microsoft.com/2017/05/12/customer-guidance-for-wannacrypt-attacks/
You should migrate your applications off of WS2003 and on to a supported version of Win Server.
If that's not an option, then you could dump the eventlogs on the 2003 server and then use something like FTP to send the data to your eventlog processing server..