@jjohnston01 We allow our faculty to cross-list on their own. For the most part, it goes without issue and has not been a problem. We do however get a fair amount of requests to do it for them which if it is just one or two classes we generally just do it for them rather than send them the directions. It makes sense to me how it works (pick a "parent" course and then cross-list the other courses into it) but not all LMS systems work that way and faculty that have used other systems almost always end up either cross-listing it the wrong way or somehow cross-listing a course into itself.
As an admin you can decross-list a course and as long as content has not already been associated everything works fine. The only issue we have run into is when after like 3 months, the faculty member decides they don't want the course cross-listed anymore and asks us to undo it. This removes all assignments assigned to "everyone" from the courses that were cross-listed as those were really only created in the parent course. Having us do the cross-listing allows us to fully explain what this is going to do and basically tell them they need to keep it this way for at least this term to not cause issues.
TLDR:
We do it and have really had no issues.
Hope this helps,
Nick