That's not really a BBS, though... a BBS was something you dialed a phone into. I don't think that in the modern era of ubiquitous cell phones, that you really could set up an actual BBS.
I disagree. The modem was the transport mechanism of the BBS and it did shape the experience. With that said, just as we are still seeing great new games being produced with 8-bit style graphics in a world where the hardware can do fully immersive VR, I believe that the experience of the BBS is still just as relevant today over IP, especially in the context of this original post.