This may be way off the mark, but years agao I had a car that would die when taking a hard turn. I don't remember if the direction had any influence on it or not. Whe I finally figured it out, I thought I was crazy. Turned out it had a 'low oil pressure switch'. I was low on oil and a hard turn left the pump pickup exposed. That second or two of no oil pressure caused the switch to kill the fuel pump. Just an idea.
Well i hate to be the one to say it but that **** is WHACK! I have had P71 Police Package cars do that same thing to me at work but never heard of it on an F150. On the Vics it was bad wiring that ran through the core support. Mostly would do it on right turns/up hill/and rained recently. Cant even imagine what is doing that on your truck,, but i would check for harnesses rubbing against metal. Check your grounds, loose or corroded, may be the problem