I would like to contribute to this as i experienced that Authorisation seems to mean, "authorisation of additional computers which are not signed into iCloud and iTunes with the same account. "
I have authorised my wife`s and two of my "children" computers. In my account i read "3 authorised computers". Now i bought a new Mac and set it up with my Apple ID. Result: Still 3 computers authorised.
And myself i own now 2 Computers (same account)
So setting up a new Mac with the same apple ID does not count as this "Authorization" So u can own as may computers u like and use them under ur apple id. and purchase and play everything from your iTunes account.
So deauthorisation of all computers will not solve the problem if u sold a computer and forgot to sign out and wiping off all data.
Just a conclusion which should be true if the info in my iTunes account is correct.
So one could create a title like "Apple ID ownership vs Authorisation vs. Association."