A gridiron football is still clearly a ball in function, even if not spherical, just like how a rugby ball is still called a ball.
The word "football" has been used to describe games played without kicking for centuries. A possible etymology is that it means not a game played with the feet, but a game played on foot. It could describe any of the games played by peasants, as opposed to the equestrian sports (racing, polo, dressage) played by aristocrats.
The word "football" has been used to describe games played without kicking for centuries. A possible etymology is that it means not a game played with the feet, but a game played on foot. It could describe any of the games played by peasants, as opposed to the equestrian sports (racing, polo, dressage) played by aristocrats.