This picture presents a very infantile method of believing how sports should be named.
In "football" (soccer), the foot controls the ball. Ok. But the goalie stops the ball with whatever he wants. Handball. Anythingball. Notwiththehandsball.
In American (and Canadian) football, yes, the foot is only used to deliver the ball into play at the start of a half, to score points between the uprights, or to give the ball to the other team at a change of possession. Thse moments are fleeting and take very little time, if any, off of the clock. The rest of the time, the ball is clutched in the hands. Contact with the foot is a dead ball, stoppage in play. Handball. Clutchball. Passball. The ball is not a melon or egg just because it looks like one, any more than a soccer ball is a testicle because it looks like one.
Baseball. The ball isn't supposed to touch the bases or it jumps into foul territory or up into players' faces. It's hit with the bat. Batball. It's caught in a glove. Gloveball. It's thrown by a pitcher. Pitchball. Handball. It's spat on by nasty pitchers. Spitball. Curveball. Fastball. Seamball. Leatherball.
Basketball. They used to use peach baskets, but now they use nets mounted on hoops. Hoopball. Netball. Players use their hands to pass and shoot. Handball. Dribbleball. Passball. Shootball. Orangeball. The shoes squeak on the hardwood. Squeakball.
Hockey? They use a puck, not a ball.
But field and street hockey can use balls instead of pucks, but they retain the name "hockey" because the rules are largely the same. Should they rename it to puckball, stickball, bladeball, goalieball, iceball, etc.?
Tennis. Racquetball is something else entirely. The ball is green, let's call it greenball. Wilson makes the ball, let's play Wilsonball. They use a net. Netball. Love is a starting score. Loveball.
Volleyball. Players volley for serve. But they also spike. Spikeball. There is a net. Netball. They use their hands. Handball. They play in the sand. Sandball. The women play in skimpy tight tops. Skimpytightshowmeyourtitsball.