Okay, let me ask in another way.
I successfully recovered an old account (for one that bought it off me, which had been locked)
I used a Transaction ID, which I believe corresponded to that account, without knowing for sure, since the name on the transaction file is not a name I could remember on that account, but I assume it has just been the current display name that It had when I purchased membership at that particular time.
Now the question is; Would I have been able to successfully recover an account without having the correct Transaction ID inputted, but still manage to recover it based on the accuracy of the other info provided?