Pilots, for the love of god, please do not confuse the role of us controllers with the boffins in Canberra that run the various ground delay programs.
We at the coalface cannot see COBT, slot times, or anything other that the 'state of play' arrivals.
I feel ridiculous when I give you min speed on behalf of the next sector, you tell me you've already absorbed your delay on the ground, and I tell you I can't help.
I can't. We are stuck in this 'progress' as well.