The article has me confused because holding it by the bottom or top would make no difference. If you pour with the same bottle orientation both times, it doesn't make a lick of difference if you're holding the bottle at the bottom or the top. Am I missing something?
What they have shown in the illustration actually makes sense. What I gather is that you hold the bottle with the flat side up, NOT the curved / contoured side.
None of this means anything to me, as I've always held the bottle sideways and eased the contents out slowly. Once you get a good stream going that's controllable, you can [censored] near tip the whole bottle over and pour in a real hurry without making a mess. Very cold oil is more difficult but easily done with a little practice. Then there's those oil fill caps that are hidden under some hose, or squeezed in between the intake manifold and radiator, such that the sideways pour won't work. In the absence of a funnel, I sideways pour from above, most times I can get it without spilling, but I do make a mess from time to time.
I'm due for an oil change on my Odyssey, I'm going to try their method right now and see if I like it better than sideways.