Ok, I think there are two parts of it.
1. All non-US Citizens who have applied for some immigration benefit are required to do that. Once you get a GC, you don't have any other application with BCIS and would not require to file AR11.
2. Those non-US citizen who are required to be a victim of special registration, they need to do the same. Again, special registration ONLY applies to non-US citizens and non-GC holders. Once you have a GC, you are not required to go for special registration. At the time of GC stamping, you can ask the BCIS officer to get you out of special registration database. Therefore, this AR11 rule will still not be applicable to you.
Am I missing something here?
Thanks.