...And I really look forward to the "Four Hawks" game where both players develop the hawks before moving anything else.
I think hawks have enough value that this might be sound play. You sacrice pawn and other piece development, but in the meantime you bring other good pieces into play.
If each player starts with four hawk-only moves, and if they move only toward the center, then there are 4 ways to place the hawks (LL LR RL or RR). The opponent can do the same, for a total of 4 x 4 = 16 variations of the "Four-hawks Opening". Hawks can go other places too, but I think these central locations are strongest.
True... maybe I'll design one!