[Hebrews 11:6]

You've begged the question. Of course "if it had, we can expect that God would have appeared to correct it." James, Peter and John might have resisted, and God's merans of providing the correction might have been to work through Paul's reaction.

The question isn't whether or not the Episcopalians are going to be corrected similarly by God, but what the proper response is to error. We know that Paul later famously confronted your Peter who "DIRECTLY experienced theophanies, divine revelations, angelic visitations, the direct presence of God, etc. They did not have "faith". They had empiricial, scientific certitude of the literal truth of what they were teaching. God spoke to them, literally, visibly and in the first person." And Paul was right then. But if James, Peter and John had resisted initially, what should Paul have done? Suppose they had resisted firmly?

[Vicomte13]

If they had resisted firmly, and Paul and the Apostles had been unable to rectify the situation, it would have demonstrated that the Holy Spirit was not with them, and that apostolic Christianity was false.

[Vicomte13]

"The question isn't whether or not the Episcopalians are going to be corrected similarly by God, but what the proper response is to error."

Return in loving communion to Rome.
That is the proper response to the error.