Yeah, You are right there is no criteria based membership option in by default "Administrators" set but i was talking about replacing it with manually created "Administrators" set.
But yeah it will be a bit risky so i suggest to take a backup before you perform it.
And other way is That try to remove and add "Super Admins" set again into the old "Administrators" set. I hope it will work.
Giriraj Singh Bhamu
I would avoid changing the default Administrators set that way, as if something went went wrong on that, there is a good chance that you lockout every Admin from the Portal.
I never touch the Admins Sets/MPRs, instead for that i create a second one, its not to much work. Also you can not be sure that it maybe changes with updates to the product.
Its possible that way, but just be careful.