Self-cleaning jobs make more jobs to clean themselves up. Recursively?

SelfCleaningJobs.ps1

function New-SelfCleaningJob { 
  param(
      $Name=$([Guid]::NewGuid().Guid)
  )
  $job = Start-Job -Name $Name { 1..10 | % { Write-Output $_ } }
  $jobCleanup = Register-ObjectEvent $job -EventName StateChanged -Action { 
      if($EventArgs.JobStateInfo.State -eq "Completed") {
          # Note this prints to host no matter what's going on right now ....
          Receive-Job $Sender | out-host
          # Clean up and throw away the job
          $Sender | Stop-Job -Passthru | Remove-Job
      }
  }
  # But how can I clean up the clean up job?
}