Aerodynamics will make your head hurt! For every action there is an equal and opposite reaction. Down force = drag, it’s a deep rabbit hole.
Hey Denny,
Oh...yea...we're goin' there
I'm going to try-n-break it down into simpler sections
....to document what I "think" I understand
*Feel free to confirm &/or disprove
Remedial Aerodynamics 101
First,
I drew up a simple airfoil
...& then, labeled the sections (frontal area, body, tail & wake)
...&/so, I figure we can use that same concept to label most any shape, traveling thru a fluid, (air or water)

Next, let's start with a simple (2D) rectangular shape to help show the difference between the frontal surface area & the body surface area
...& to help keep any math kinda simple, let's say it's 1" (tall) x 2" (wide)

So, the object in the top drawing has a 1" (tall) frontal area
...& a 2" (long) body
But,
If the object was turned 90* it would "now" have a 2" (tall) frontal area
...& a 1" (long) body
* The air colliding with the "face" would be
Induced Drag
...& the air "rubbing" all of the way along the side of the "body" would be
Parasite Drag
Notice, in the drawings, below, how the air can go over the object (causing Parasite Drag)
...collide with the front or "face" (causing Induced Drag)
...&/or can go under it (also causing Parasite Drag)
So, the object in the top drawing would have less Induced drag
...but, more parasitic drag
...& the "wake" should/would be proportional to the frontal area
Whereas the object in the lower drawing would have twice as much Induced drag
...because the frontal area is twice as tall
But,
...only 1/2 as much Parasitic drag
...because the body is only 1/2 as long
...& then, the "wake" behind this object should/would also be, proportional to the frontal area