Not sure what this proves? Care to explain?
I did my own range test on fcc earlier, as you said the battery was the limiting factor here, got to 6km with good strong signal when I started to get warnings about battery/rth... I had the wind behind me on the way out so didn't want to take risks and push it.
All things considered it really is a great transmission system, when I'm not doing range tests I'll very rarely take it out that far, this was over several small towns/villages so there would've been a bit of radio noise at play as well here.