You are of course correct, the same mass in a smaller, similarly shaped volume would fall faster.

But if you 'scale' a human body from a 2m tall person down to a 1,50 tall person, you decrease weight, volume and cross-sectional area. While weight and volume roughly scale with the third power of the linear dimension of height, cross sectional area goes with the second power and thus gets smaller slower than the other two. So a smaller person of the same build as a tall person is lighter per cross-sectional area than the tall person.

For a smaller person to fall as fast as a tall person, they would have to be slightly heavier (build-wise). And small skydivers really use lead weights in belts or vests to increase their fall speed when doing jumps with bigger or heavier partners where they try to stay at the same fall speed, doing relative work.

What you quoted was ambiguous, sorry for that.

[edit]: Oh and your weight does have no influence on the speed you fall, IF you fall in vacuum. With air resistance, the heavier you are, the faster you fall. There are of course diminishing returns, you will not keep going faster by adding ever more weight, at a point it will level out, but a human body is not near that point and so weight has influence on your speed.