(To me, the scroll wheel is reflecting the scroll bar on-screen, so I'm pushing it up or pulling it down. A touch area more naturally resembles the rest of the page/window, so I'm on board with 'natural scroll' - I'm pushing the page up or pulling it down.)
Hard disagree. I move the mousewheel down to go down the page, and up to go up. That's natural.
Swiping around my desktop screens and apps like it's a tablet makes no sense. It's the very first thing I turn off on all Macs.
The idea that you are touching the document and directly manipulating it and pushing the document up is a touch interaction model. Mouse interaction moves the cursor/view. It’s not “natural” but it’s in accordance with decades of mouse behaviour that “toward your body” is down.
Speaking of, “page down” acts like moving the page up. Mouse wheel down (towards you) matches page down, which is agreeable.
IMO there is no objective reason why turning a plastic wheel towards or away from the screen should be the natural choice for scrolling down a webpage. It's just something that some people are used to.
My head sees scrolling on a touchpad, the Magic Mouse and a wheeled mouse as the same thing — and I even set my Windows gaming machine so that the mouse scrolls "naturally" like my Mac.