Ouch: this is completely inaccurate. Physical modeling has its roots in the 80s and Stefan Bilbao has been doing FDM based methods for over 20 years. I think he discusses fem in numerical sound sysnthesis
Also, aschkually, a violin is on the "easier" end of making it sound realistic. It's one of the "tutorial" models you go through when you start learning about this (resonators + reverb get you 80% there). Much harder to do any plucking sound (guitar, piano), and much much harder to model percussions accurately (cymbals, drums) and in such a way that the sound doesn't come out dry and very evidently synthetic.
Source: I was very invested into this in the 2000s, although as a hobby, not professionally.
Conical and cylindrical bores definitely differ but I don't see why they'd be different specifically with respect to the lip interaction, can you say more about that part?