David,
I have not had the swinging issue but I have had mine cut off. My cutoffs occur when I have the anchor lock set. I will be doing other stuff and notice that I am not sitting where I was and sure enough it had cut off. I have mine on a lanyard around my neck so I thought maybe I hit a button without realizing it. So I set it and laid the remote on the console and it still cut off. I think if the GPS has even a minute interruption it cuts off. I can't think of any other reason for it to cut off.
By the way, be sure to carry a spare battery for the remote. Mine died this week, but it is 2 years old. I get the Energizer 2450 from Walgreens, but you can get one like came with it on line for less.
If you are going directly into the wind it works best. A side wind will drive you crazy.