I will have to ask for forgiveness for my ignorance, but I don’t really understand what the big deal is. If I remember correctly the lakes on Ft. Apache in AZ are on open range with some cows and elk in the area. I grew up fishing in ponds usually dug to provide water for cattle. A little mud stirred up in on end of a pond or lake would not seem to do much harm. The cows are going to go very deep, foot and a half or two feet max in most cases.
It's easier to fool people than to convince them that they have been fooled. Mark Twain