Fishy your pond sounds similar to my one acre pond that I have had now for 20 years. Since I seldom use chemicals and I like vegetation I have seen my pond all over the place as high/low level water is the cause of a lot of changes. When the water level is high as it is now I don't see any bull rushes but when it is low they come out around the pond. I have planted eel grass that was doing well but died out when the water level was low and they never came back. As I became somewhat afraid of Curly Leaf Pond Weed then Coontail became dominate over clpw. As Coontail become dominate white wild lilies grew over the top of them and tamed them somewhat. That said my experience was 18 grass carp took out almost every vegetation in my pond in 4 years. So grass carp can be a good tool to use but it depends on the right amount of carp to the size of the pond and the time you allow all of this to take place. So it's all kinda complicated and nature will throw you a curve ball every time. But it's fun.

I put two dump trucks loads of sand for a small beach and 20 years later if I want a beach I just spray it with all vegetation killer and the weeds die and there is the beach.

I had a fishing pond in the early years and now have a nature pond and take photo's of what lives at a vegetated pond.