As far back as ancient Egypt, grids and measuring tools were used to reproduce figures at different scales. Roman workshops churned out copies of Greek statues in marble and bronze, using casts and moulds. From the 18th century onwards, sculptors used outright pointing machines to transfer models into marble. James Watt, the steam engine guy, even built a mechanical sculpture-copying machine that could (somewhat) automatically reproduce reliefs and medallions.
Gothic architectural decoration wasn't about expressing the inner world of its makers in the way we think of art today. Much of it was produced by large masonry workshops using standardized geometry, wooden templates and repeated designs.
So, yeah, using a CNC machine is truly Gothic.
However there is the concept of 'the resistance of the material' where the act of working with the material with bare hands and simple tools is a meditative process. Something I would have thought applicable to the contemplative and monastical life of a monk.
There's a fascinating article from BBC 4 on the topic https://www.bbc.co.uk/programmes/m0000xqt
That said, actual Gothic sculpture and decoration fell into that gap when pointing was lost. And the frankly lower quality of most medieval sculpture more or less reflects that. And anyway, nothing wrong with neo-Gothic.
Wood working projects get out of hand when you add a small feature. I cannot imaging what would happen if you had to do this with stone carving!
I used to work in architecture and CNC was always seen as a powerful fabrication tool for installations and temporary structures.
To see it working in stone, and to see it creating classical motifs, is genuinely inspiring. Incredible use of technology here and am still blown away by the craft required to model this out, knowing how the stone is going to respond when cut.