Update -
The longer range antenna worked great and now I can turn the camera on/off anywhere in my yard.
I also have removed the extra battery I had in the robot to supply power to the camera and the RF receiver and have run all of that into the Lawnbott battery. I have two robot batteries in there now and since they are wired in parallel, I just connected extra wires to the terminals of one of the batteries (that won't pull down one battery quicker than the other). I have two voltage controllers in the set up currently - one to reduce the 29V to 12 for the RF receiver and the other reduces the 29V to 8V for the camera.
I do have another RF receiver in the robot which allows remote control of the On/Off, Charge, and Pause buttons but I haven't connected that yet to the robot batteries. I need to look and see if I can connect that to the same voltage reducer that I mentioned above or whether I need a separate one.
I just set this up yesterday, so I don't have any data yet to see if this affects the robot runtime, but I'll do some testing and see what I come up with. With that said, the power that these extra onboard devices take is so miniscule that I don't think it will have a big affect on the battery charge for a mowing session.