I am sure you will love it.
The BB basses were engineered to be GREAT recording basses. Originally called Yamaha "Broad Bass", thus the "BB", the good folks at Yamaha created a prototype P style bass with the help of renowned Los Angeles luthier John Carruthers. The prototype was then shopped around to LA session players like Lee Sklar and Carol Kaye, who were asked to take the bass to sessions, record them and provide feedback. The BB series basses were then given free of charge to other gigging musicians to take on the road. Famous early endorsers included Michael Anthony (Van Halen), George Hawkins Jr. (Kenny Loggins, Mick Fleetwood), Lee Sklar, Jimmy Haslip (Yellowjackets) and Abe Laboriel Sr. (Paul Simon).
These are GREAT basses, that record very well, with great resonance and sustain. They are a little heavy, but the tone is to die for. In my experience, the only weak spot tends to be the tuning machines. Although they will keep pitch, they tend to get a little loose with time.
I gigged both BB2000 and BB1000 basses for years and have a great fondness for them. Congratulations on you purchase. A factory fretless BB2000 is a rare beast. Enjoy it!