Sorry, but no. First, Rome was not invited. The reason for Rome’s never having received any invitation was most probably the fact that Rome was not in communion with Meletius, who was chairing it, but had instead recognised Paulinus, the
other bishop of Antioch. They could hardly attend a council chaired by the rival of the person whom they supported.
Second, as for dealing merely with “Eastern issues”, that might have been Theodosius’ intention, but the bishops at the council
rewrote the Nicene Creed, and passed canons on church governance (#2 and #3), without consulting Rome. As Hefele notes of the Council of Chalcedon, “When at that Council the creed of Constantinople was praised, repeated, and confirmed, the Papal Legates fully concurred; but when the Council also renewed and confirmed the third canon of Constantinople, the Legates left the assembly, lodged a protest against it on the following day, and declared that the rules of the hundred and fifty bishops at Constantinople
were never inserted among the Synodal canons (which were recognised at Rome). The same was maintained by Pope Leo himself, who, immediately after the close of the Council of Chalcedon, wrote to Bishop Anatolius of Constantinople: “that document of certain bishops (i.e. the third canon of Constantinople)
was never brought by your predecessors to the knowledge of the Apostolic See.”” Far from agreeing with Constantinople, Rome both disagreed and felt slighted about never having been consulted. Chalcedon, of course, passed its canon 28
over the personal objection of Leo of Rome (section 3).
Third, there was a Roman council in 381, but that was in autumn, after Constantinople (which had run from May to the second week of July) had finished. When Damasus of Rome did attempt to convoke another council involving the Eastern bishops, they did not attend, as they note in their letter to him from a subsequent council which they
did find time to attend in Constantinople. The
same letter repeatedly declares their rights to issue the canons which they issued, refers to the ordination of Flavian of Antioch at Constantinople in 381 as not only valid but supported by “the whole church” (despite
Damasus of Rome’s disagreement with it, because Paulinus was still alive), and describes the 381 Council as
ecumenical two hundred years before Gregory the Great expressed his reverence for it.
While I agree that the 381 Council was not actually ecumenical at that time because it did not actually reflect the views of bishops from the whole οικουμενη, the East explicitly identified it as such at the time, and continued to act against Rome’s express wishes.
What many Catholics, in particular, fail to appreciate is that the Photian Schism over the Filioque was not new, not sudden, and not at all surprising, but was instead the rather inevitable result of the enormous disjunction between the Roman view of Roman supremacy and the Greek view of Roman primacy.