You do wonder why different manufacturers deem, or deemed, it necessary to employ different tapers.
I have drill chucks with Jacobs, Jarno, and Morse tapers in the body, Cannot remember if there are any with B series tapers, would not be surprising if there were one or two!
It would be more understandable if there was am aftermarket to be captured, but drill chuck arbors tend to be "fit and forget" items rather than high volume turnover parts, like car brake pads.
Maybe it is a desire to be exclusive. Elsewhere we have Morse, B & S, R8, and International tapers, and the collets with Morse, 5C, ER and Autolock, to name some. Each with its own specific advantage, in grip, or ease of breaking that grip.
Some have been produced by a specific manufacturer, for a particular purpose, at that time, whether need or exclusivity, just like screw threads, or gears!..
Howard