This only records what happened at Rome and does not mean Rome ruled the rest. If you read Eusebius you will see that he did not recognize Rome as "the" official seat.
You're cherry-picking again.
I was not asked to evaluate Eusebius' opinion about the extent of Rome's jurisdiction. Go ahead and post Eusebius' full and unedited opinion (no cherry-picking!!) and I'll comment appropriately.
>:^}
(mischievous Catholic grin)