Making an explanation intuitive takes time and effort, but I don't think it requires the explainer to have a better understanding of the concept than another person. They probably must have a good understanding of the concept, but once there is a good enough understanding, I think it's more a matter of finding the right way to explain it.
Lamport's original Paxos paper (https://lamport.azurewebsites.net/pubs/lamport-paxos.pdf) is notoriously difficult to understand because he decided to write the whole paper as an archeological survey report. Writing an explanation more intuitive than that isn't difficult even with only a basic understanding of Paxos -- just avoid the whole island and Parliament thing. His later paper (https://lamport.azurewebsites.net/pubs/paxos-simple.pdf) is much more clear.
Lamport's original Paxos paper (https://lamport.azurewebsites.net/pubs/lamport-paxos.pdf) is notoriously difficult to understand because he decided to write the whole paper as an archeological survey report. Writing an explanation more intuitive than that isn't difficult even with only a basic understanding of Paxos -- just avoid the whole island and Parliament thing. His later paper (https://lamport.azurewebsites.net/pubs/paxos-simple.pdf) is much more clear.