Yeah, that's an important topic!
I think we should encourage neutral facilitation and ideally a group-memory recorder when feasible. Incidentally, people should read the classic book How to Make Meetings Work.
So, each session should at a minimum have a facilitator, and there should be an introduction to facilitation at the start of the conference. The facilitator's role is to make sure everyone has a chance to speak, nobody dominates the discussion, things stay on topic reasonably, and otherwise helps to bring out the best from everyone. The key is that the facilitator needs to avoid weighing in with their own opinions and judgments. They do not control the session, they serve and help and should welcome anyone providing them constructive feedback on their facilitation.
A group-memory means that someone is the recorder who will write down (ideally on a whiteboard or something, although an etherpad could work) the general ideas and topics. That way, everyone knows what has been said and what the focus is. Group memory is not minutes and it is not about recording who said things, it's just about focusing and collecting ideas. It does help for the group to be able to clarify and correct things that were not recorded optimally.
So, ideally, each session starts with volunteers for facilitator and recorder and they serve the group to make the time as meaningful, productive, respectful, and inclusive as they can.
I think that's the key and will make a big difference — especially if everyone understands the neutral roles from the beginning. Having it clear who is doing this will free everyone else to focus on their contributions and ideas.