OoO - DistributionGroup Setup

Background: I’ve been exploring how to set up a distribution group in Exchange to receive Out-of-Office (OoO) messages from its members.
https://answers.microsoft.com/en-us/msoffice/forum/all/set-out-of-office-message-for-distribution-list/ff3a82d7-72cf-42d9-9ca9-296df75803ab

Unfortunately, my initial attempts haven’t been successful. Here are the steps I’ve taken so far:

1. Identifying OoO Members: I used the following PowerShell command to retrieve all OoO members:

      Get-Mailbox
   

   This command lists all mailboxes with scheduled OoO messages for understanding.
2. Activating OoO for the Distribution Group: To enable OoO for the distribution group “Distribution-Test-Group” I used the following command:

      Set-DistributionGroup
   

   This should allow the group to respond to senders with OoO messages.
3. Member Overview: Finally, I checked the members of the distribution group “Distribution-Test-Group” and their OoO status using this command:

      Get-DistributionGroupMember
   

   This provides an overview of each member’s OoO status.

My previous analysis steps:

# Recursive DistributionGroup search
Get-ADGroup -Filter "groupcategory -eq 'Distribution'" -Properties Members |
Where-Object {$_.Members.Count -gt 0} |
Select-Object Name, @{Name='Mitgliederanzahl'; Expression={$_.Members.Count}} |
Sort-Object Name

# None-Recursive DistributionGroup Search
ForEach ($x in Get-DistributionGroup * | Sort-Object Name) {
  "Gruppe: $($x.Name)`n`nMitglieder"
  $y = Get-DistributionGroupMember $x
  $y | Sort-Object Name | Format-Table
  "Mitgliederanzahl: $($y.Count)`n=====`n"
}

# OoO Activating @DistributionGroup (Notice and code by DMA - Thank you very much)
Set-DistributionGroup -Identity "Dist-Test-Group" -SendOofMessageToOriginatorEnabled $true

# OoO Member Overview
Get-DistributionGroupMember -Identity "Dist-Test-Group" |
Select-Object Name, PrimarySmtpAddress, WhenCreated, @{Name="OutOfOffice"; Expression={(Get-MailboxAutoReplyConfiguration $_.PrimarySmtpAddress).AutoReplyState}}

# Track DistributionGroup Messages
Get-MessageTrackingLog | ? {$_.RelatedRecipientAddress -like "Dist-Test-Group"} | Measure-Object | Format-List Count

# Track DistributionGroup Messages (Advanced Search)
Get-MessageTrackingLog -ResultSize Unlimited | ? {$_.RelatedRecipientAddress -like "Dist-Test-Group"} | Measure-Object | Format-List Count

Despite these steps, I haven’t achieved the desired outcome.
Any further guidance or insights would be greatly appreciated!
@Vasil Michev Are you there?

Best regards,
Jan