I haven't checked how reddit does this but just from the example it seems like there is no anti tracking from the use of urlcheck that you're describing.
reddit appears to generate tracking link with a specific numeric identifier in their database, so instead of attaching a bunch of removable url parameters they instead do a lookup in their database and then redirect to the original destination.
this also means your app checking the redirect will need to fetch the url to determine the destination, which means their tracking still works just fine.
edit: a word
for our admin team, we're using a bot to message a matrix room when content is reported and reacting to the message when it's been handled.
this could be done pretty much the same way on mod level, though this is certainly not easily accessible to everyone due to the hosting involved.
and all of this is only relevant if you even receive reports about content in the first place. if you moderate a community on another instance, tough luck unfortunately, as they currently do not federate.
edit: typos