I know that in certain states and countries it is in fact illegal to tape if all parties do not know and agree, but as you are not allowed a transcript of what is said, and therefore cannot prepare an appeal in the normal way, they are wrong to demand no taping and should expect it to happen.
Otherwise it is three against one as to what was said.
If they make stronger rules about not taping, even going so far as to search people, I would advise no one attends a JC, just tell 'em to F*** Off !!