A puzzling problem for sure, since none of the wiring that is in the area of the throttle control should affect the ignition system when the engine is running...
The only thing remotely like this that I experienced with my boat was this:
Once in a while, when trimming the boat, the engine would stumble briefly. What it turned out to be was bad battery wiring, because the trim system draws so much current that it was dropping the system voltage to the point that the ignition cut out for a split second. In addition to this, when trimming and holding the steel steering wheel, I would get a slight tingle once in a while. Both problems were solved by repairing old wiring. I am wondering, when you touch the throttle, is it possible that the trim is getting activated? I'm sure you'd feel/hear it, but in that pic, it looks like the trim wiring is right next to either the shift or throttle cable....