When someone asks me to draw an architecture diagram or a diagram of our production infrastructure or whatever, I am very slow at it and the result is usually middling at best, because my mental model of those things has no geometric or spatial component at all.
To the article's point, I've can't recall ever finding a visualization of my actual code or architecture that helped me work through a problem. When I've tried, it has always just slowed me down because I constantly have to map back and forth between the picture and the native non-geometric version in my head.
That's not to say I never use any kind of visualization. Graphical representations of things like profiling results are convenient and useful to me. But they tend to be more like representations of numeric data than representations of systems or code.
That's the whole point though, and I think the article try to also point that.
That is, there are considerations which are harder or downright impossible to model when a scene is approached under some perspective. But change perspective, and everything might now be obvious if not completely trivial to handle. The additional information pointed here is that even if placed in the very same perspective, people will still perceive the situation differently. Even at the same position with the same light exposure, a color blind person won't experiment the same observation as someone whose cognitive process overload the mental picture with additional color information.