Far too much agreeing data and agreeing methods for it to be an illusion. 2.3 million species fitting the hierarchy. Two separate methods for constructing the hierarchy that agree just short of perfectly.
You'll never look at the data, and if you did your unshakable anti-reality filter would prevent understanding.
What's been posted so far is explanations of what a nested hierarchy is, and I'm far from convinced you understand that.
THe data and how it's processed is far more that is realistic to explain in this medium and is widely scattered. Since you won't read black-on-white web pages, I don't know how to present it. Maybe others can think of a way.
We've pointed out your ignorance with examples many times. My favorite is the idea that entire inconceivably heavy and extremely brittle rock formations could be picked up and carried and deposited whole.
Lifting would require an upward force exerted from below (or else the bottom would crack off) and almost perfectly even and simultaneous force (else the bending moment between unequal forces would crack the formation in two or more).
A crude analogy: bake a huge and unusually thin sheet cake. Invert the pan so the cake is on the counter. Leave it there until it's totally stale.
Now, with your hands only, lift it off the counter in one piece.
Besides cutting those formations, the draining action scoured off plateaus such as at the Permian (Kaibab) level in the Grand Canyon area, across which the last streams of water ran and formed meanders and became rivers some of which still exist.
The meanders extend from top to bottpm. Therefore whatever created the meanders also created the canyon. According to you, that's the river.