I'm a skeptic of the theory, despite the fact that I'm intrigued by it, but even I have to say that it is kind of odd that people without any sort of computational power or precision tools were capable of making architecture that grandiose and that precise.
Discussion
It’s worth reminding ourselves that when the building in question was completed we already had microscopy, telescopy, telegraphy and electricity. Maxwell’s discovery of the laws of electromagnetism and the constant speed of light, radio communication, electrification and cinema were only a decade or so away. This was certainly the modern era and they had rather sophisticated methods of measurement and computation. They obviously couldn’t have yet developed the transistor, the large hadron collider or the James Webb telescope, but they certainly were not primitive in their understanding of the laws of nature and their applications. If you wished to strong arm the argument, you would need to select an older exemplum; Cologne cathedral for example. The answer I suspect would be less concerned with the supposed technological superiority of the Medieval mind and more to do with the sort of things bitcoiners tend to worry about such as high and low time preferences and monetary debasement. If you have 300 years to build something, you can make it really nice!