Powershellskript: Löschen eines XML-Elements schlägt fehl

<?xml version="1.0" encoding="UTF-8"?>  
<Landscape updated="2020-01-14T07:42:53Z" version="1" generator="KP">  
	<Services>
		<Service type="Test" uuid="123" name="Name 1" systemid="ABC"/>  
		<Service type="Test" uuid="456" name="Name 2" systemid="DEF"/>  
		<Service type="Test" uuid="789" name="Name 3" systemid="GHI"/>  
	</Services>
</Landscape>

<?xml version="1.0" encoding="UTF-8"?>  
<Landscape updated="2020-01-14T07:42:53Z" version="1" generator="KP">  
	<Services>
		<Service type="Test" uuid="123" name="Name 1" systemid="ABC"/>  
		<Service type="Test" uuid="456" name="Name 2" systemid="DEF"/>  
		<Service type="Test" uuid="101" name="Name 2" systemid="JKL"/>  
		<Service type="Test" uuid="789" name="Name 3" systemid="GHI"/>  
	</Services>
</Landscape>

<?xml version="1.0" encoding="UTF-8"?>  
<Landscape updated="2020-01-14T07:42:53Z" version="1" generator="KP">  
	<Services>
		<Service type="Test" uuid="101" name="Name 2" systemid="JKL"/>  
	</Services>
</Landscape>

[xml]$localxml = Get-Content "C:\Temp\localTest.xml"  
[xml]$globalxml = Get-Content "C:\Temp\globalTest.xml"  

$localServices = $localxml.Landscape.Services.Service
$globalServices = $globalxml.Landscape.Services.Service

ForEach ($localService in $localServices)
{
	ForEach ($globalService in $globalServices)
	{
		if ($localService.systemid -like $globalService.systemid) #Wenn systemid identisch
		{
			#Zu löschendes XML-Element anzeigen
			echo "Löschen:"  
			$localService.name
			$localService.systemid
			echo " "  
			
			#XML-Element löschen (Hier scheint der Fehler zu liegen. Habe schon unzählige Versionen getestet. Hier ist eine davon.)
			$node = $localxml:Landscape.SelectSingleNode("/Services[@name='$localService.name']")  
			$node.ParentNode.RemoveChild($node)
		}
	}
}
$localxml.Save($file)