Powershell remoting write event log as non admin

I'm attempting to set a non admin up with the ability to write events to the application log via powershell remotely. Remoting works, I can read the registry, etc. Just not write to the event log.

invoke-command -ComputerName myhost { write-eventlog -LogName Application -Source CMS -EntryType Information -EventID 200 -Message "Testing CMS event" }

The error is

The registry key for the log "Application" for source "CMS" could not be opened.
    + CategoryInfo          : PermissionDenied: (:) [Write-EventLog], Exception
    + FullyQualifiedErrorId : The registry key for the log "Application" for source "CMS" could not be opened.,Microsoft.PowerShell.Commands.WriteEventLogCommand

The fix of changing the registry rights described doesn't work, and I can actually iterate the registry as the non admin user without issue:

invoke-command -ComputerName myhost { Get-ChildItem "HKLM:\system\currentcontrolset\services\eventlog\application\" }

I've seen a number of old articles regarding this issue.

here , here and here

I have tried enabling auditing on this key (which shows no access) and using procmon on both the client machine. How do I get this working?