That's a standard tapered B. I'm not sure whether LaBella has both a non-tapered and a tapered B, but it isn't anything to worry about. Granted, it looks a bit funky on a bass with a short run from the back of the tailpiece to the bridge (e.g., Fender style), but in a perfect world, the largest of the tapered sections (the one right next to the actual normal string gauge) will fit right into the saddle of many bridge/tailpiece combinations (Warwick is one example).
There's no reason you can't play normally with some of the tapered portion within your active string length, unless of course you pluck or pick within an inch of your bridge.