@mahgister Good point -- the bottleneck principle is a category error when applied unreflectively to audio. It treats the system as a linear production chain where variables can be isolated. But a speaker-room-listener system is, as you say, a coupled, nonlinear field where the four dimensions you point to genuinely interact. If I understand your point, you cannot optimize one dimension while holding others constant in the way the bottleneck metaphor implies.
I think the psychoacoustic point is good to add; it's usually underemphasized — what counts as "better" is constituted partly by perceptual and cognitive processes, not just physical signal fidelity.
I guess the reason I like the video is that there is a pedagogical value of the bottleneck heuristic -- especially for beginners.
Most people genuinely do spend money on cables before treating their room, and the hierarchy — even if crude — corrects a real and pervasive bias. A simplified model that points you in roughly the right direction has pragmatic value even if it lacks theoretical completeness.
Your four-dimension framework is richer but has learning-curve problem: it requires substantial acoustic and psychoacoustic knowledge before it becomes actionable.
So, the bottleneck model is wrong in interesting ways; your model might be more correct but is harder to apply without expertise.

