No it doesn't. It clearly shows that the elder members of the assembly are to serve not as hierarchy but as overseers that all is done in accordance of scripture. And Paul clearly lays out the criteria required for one to serve in that position. The apostles clearly denied any hierarchy when Paul condemned for claiming to follow one or the other.
Paul wasn’t condemning their leadership, but the people’s confusion, common enough, that they followed one teacher or another after their baptism/conversion. This is very Jewish and having Paul, an ex-Jew, speak on it is very smart.
How do you appoint an elder? Is he an elder across any denomination or only in that particular one? Which elder is eldest? Is it by age or some other criteria?
This is a nonsense argument and you know it. There can be no Church of Jesus Christ without proper authority.