I never buy anything at the concourse other than a bovril and I put the empty cup in my bag with the packaging for my sandwiches which I take home and dispose of, so would have no reason to use the bins, which is why I asked..
That is what my brother does but when plastic glasses first started being used we had solid plastic glasses that were virtually as solid as a glass then washed them in the same manner as the glasses. Probably not practical at a football ground because of the washing and the number required
I never buy a beer at a game as I go to watch the football but we are not all the same but to overcome your problem could you not be given a solid plastic glass for a deposit as you say but then you keep it and have it refilled as required until you have finished with it after the game when you...