Maybe it was a college sorority meeting and James had final say on who gets to wear the Togas at the beer blast.
Maybe you should get yourself a good concordance, look up the word judgment/rule or whatever your version says, and apply it to James in this verse.
"Does it seem reasonable that the President would take the gavel and bring the meeting to order or conclude the meeting by telling the secretary "let the minutes reflect---blah,blah"."
No. It sounds like a meeting where the leader listens to everyones point and then makes a final decision as the one with authority.
Read it, look up the word, and stop trying to twist it into a pretzel to fit the RCC's teaching with all these what ifs?