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As has been pointed out by a number of historians such as Runciman, logistical considerations were a major factor back then. A lot of stuff going on in the West, the eastern patriarchates did not know of. In fact, a lot of stuff going in the West was news to Rome itself. It took centuries, about 200-400 years, for Rome to catch on to the results of the Council of Toledo of 589. The West was a huge patriarchate and we're talking about the Dark Ages here. Civilization was in chaos in the West. Only in the East, within the Empire at least, were the lines of communication intact. Outside of the Empire, it was a real mess.

Not really.

The acts and canons of synods in the west were sent to Rome for approval.

Missionaries sent from Rome, such as Sts. Augustine and Boniface and Cyril and Methodius, had little trouble keeping in contact with Rome so that Rome could answer dilemmas.

The Council of Toledo in AD 447 had already professed the Filioque (and Pope St. Leo stated that the Council of Constantinople's Creed was as of then still unknown in the West).

Rome was well aware of the Filioque, since her great Popes, like St. Leo, St. Hormisdas, St. Gregory, and St. artin all taught it.

The Roman Empire throughout this time period was in possession of Africa, Rome, Venice, Romangna, Dalmatia, Calabria, Sicily, Sardinia, and Corsica, the Balearics, and the Spanish Littoral. France, Spain, and England were ruled by Germanic princes who acknowledged Roman overlordship.

So Constantinople was well aware of what was going on in Rome and the West, and Rome was well aware of what was going on in the west.