I snipped out the rest in the interest of space, but I think this part bears attention.
If an accidental kick is counted, then all kicks have to be counted. It stinks, but there is no way an official can tell for sure if the player meant to kick it. If there was a way to do that, I'd have no problem with the "incidental kicking" goals standing. They would be no different than goals that bounce off a leg that happens to be moving as one is skating.