Computer and machine manufactured parts can be better, but it's a mistake to believe they always are. Take two contrasting examples.
In guitar manufacturing, CNC machines were a revolution. The quality of mid-range guitars improved massively, until there was little difference between them and the premium ones.
In furniture, modern manufacturing techniques drastically worsened the quality of everything. MDF and veneers are inherently worse than hand-crafted wood. The revolution here was making it cheaper.
CNC and other machining techniques raise the high bar for what's possible, and they have the potential to lower costs. That's it. They don't inherently improve quality, that's a factor of market forces.
Comparing a cheap thing to an expensive thing is absurd.
The appropriate comparison is which is better for the same price
I would wager that the general change in availability of wood is by far the biggest driver in difference for the markets you are describing?
Particularly, furniture benefits greatly from hard wood. At least, the furniture that is old that you are likely to see. It also benefits heavily from being preserved, not used.