I'm no boil expert, so I can't tell you everything that is going on during the boil, but I believe you are talking about the hot break material. Hot break material is basically protein strands that have clumped and coagulated together during the boil (aka not necessary to have in your boil kettle but something you probably want out of your primary fermenter).
In my experience, I also get some hop material (I use pellets) stuck to the sides of my kettle which I will stir back in. But, once again, its not something I want in my fermenter.
So, its really up to you. If you want to keep that stuff in the boil, then scoop it in; if not, leave it out. I'm sure the effect on your beer will be negligible either way.