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Talk to your IT support staff and ask them whether it's possible to toggle the -ReportToOriginatorEnabled flag on the DLs in question. Doing so will prevent any NDR messages being "replied back" to the sender. https://learn.microsoft.com/en-us/powershell/module/exchangepowershell/set-distributiongroup?view=exchange-ps#-reporttooriginatorenabled
The downside is that this setting is not sender-specific, so it will affect anyone sending to the DL, therefore they might be reluctant to enable it. There's also the ReportToManagerEnabled enabled, which serves the same purpose but for any "owners" of the DL - might be relevant if you are the owner of said DLs. The documentation above covers both.