No. Because weeds do not have nervous systems, and sea anemones do, and although they cannot feel pain, they can feel discomfort, and I said this already, but honestly its just the thought that their bodies are doing what they can on all of their power to survive is what is doing it for me.
Their bodies are not "trying to survive" but are simply responding chemically similar to how a computer runs code. Its just a logical processes running in a system that says if x happens do y. A basic nerve net doesn't imply awareness in the way you are describing it. They have no "care" for being alive. It is the same thing that happens if you delete windows from a computer, unplug a microwave, turn a car off, etc.