Militia line has a reload rate of 2.0 on their attack. This is around 10% slower than the knight line at 1.8.
There is really no reason for Champions to attack that slow. Since, their high attack is on of their defining features.
Slower attack rate means that they have a much harder time chasing down vils. This is why infantry feels so bad to play in the early ages. You don’t have enough units to seriously threaten buildings, but you cannot kills vils either.
That being said, if the attack rate for militia line is buffed then their damage bonus against eagles might need to be reduced by 1 point.
Another thing that might help would be a smaller attack delay on m@a. They have an attack delay if 0.88 which is higher than militia (0.5) and long swords (0.63). This makes them worse at chasing down vills. Imo, the attack delay should be standardized to 0.5 or 0.63.