Specifically, as an answer to the Jerusalem Council, James White argues that it was a meeting between two specific churches. . .
Yes, it appears to be simply a mission or delegation of one independent congregation to another independent congregation. Not a proof of synod authority.
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In the bigger picture, you don't see any sort of presbytery structure in the New Testament. Why didn't Paul lay down qualifications for those in any offices higher than elders? Why did Paul write to the church at Corinth instead of writing to the Presbytery of Asia Minor? Why were the warnings against false teachers given to local churches and not also to presbyteries?
Yes, all that would argue against churchly authority of Presbyteries and Bishops. However, such offices are useful and are not prohibited by scripture as long as the local church is being assisted and not being oppressed.
