Gday Lester,
I know you said/specified what mag star could easily be held in your view, but if you mention your NELM or LM to say to another AA but versed international AA, and dont specify otherwise (ie. 'the LM near object was..', or ' the LM through the 'scope is ..' ect.) like you did, they would most probably assume you mean the Zenith Limiting Magnitude - which means the faintest possible star you can see in the very small section of the sky straight up at zenith - even if it only blinks into view for a millisecond at a time, and if it means having to squint so hard that tears start to run down your face to see it after half an hour of looking [I joke?]- and all this on the best clearest darkest night possible

That is your
site's Naked Eye Limiting Magnitude or Limiting Magnitude, except if your specifying a particular event/night and conditions connected with it - the other AA will know that means that

no need for modesty in this area - just the facts! sorry!
even close to Adelaide I can squeeze out a 7.2 at zenith fairly often :-)
cheers