"But not all football players are soccer players."

The clue is inherent in the name Jack!

It is hardly credible to speak of football, when the ball is carried in players' hands during more than 90% of the game, with only a very occasional contact with a foot.

In fact, I would suggest that the opposing players get kicked more often than the ball.

In fact, I have the same objection to Rugby "football", and for exactly the same reason.

In Association Football ("Soccer" for short), ten of the eleven players are not allowed to handle the ball while it is in play (and "handle" means any touch between elbow and fingertips), while the eleventh (the goalkeeper) only uses hands to prevent a goal, or to drop kick the ball upfield. He is only allowed to do so within the goal area.

As I said, the clue is in the name