Due to the inherent nature of their electro-mechanical tone generation (tonewheels), even B-3's made in the same year, and/or even the same month would sound slightly different from one another.
They are instruments with different "personalities", and as it's been said above, there is no shrink-wrapped fossilized Hammond "sound"...it is, if you will, a mood, a style, a color that will vary with the player and/or type of music being played.
Sending your arranger's unprocessed (maybe a touch of reverb) drawbar organ section through a real tube amped Leslie (122/147) or a Neo Ventilator, will get you the closest, in my opinion, without needing to add an extra clonewheel tone module.
My favorite clonewheel is the Hammond XK3c (awesome authentic keybed), either through a real Leslie or through it's on-board rotary simulator.
Ian
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Yamaha Tyros4, Yamaha MS-60S Powered Monitors(2), Yamaha CS-01, Yamaha TQ-5, Yamaha PSR-S775.