It seems like there could be a flag for whether instance admins get notified or not. If the complaint is something like “this user didn’t use a spoiler tag for the most recent episode when the community rules say you should”, that would be something that should only involve moderators. OTOH, if it’s “this user is evading a ban so they can post revenge porn”, then maybe you want the instance admins for the relevant community involved. But, IMO, the local admins (local to the user making the report) should probably only be involved if the remote admins (the ones hosting the community) are not doing their job.
It seems like there could be a flag for whether instance admins get notified or not. If the complaint is something like “this user didn’t use a spoiler tag for the most recent episode when the community rules say you should”, that would be something that should only involve moderators. OTOH, if it’s “this user is evading a ban so they can post revenge porn”, then maybe you want the instance admins for the relevant community involved. But, IMO, the local admins (local to the user making the report) should probably only be involved if the remote admins (the ones hosting the community) are not doing their job.