I always thought of charts as musical road maps. You can use them both to get safely to your destination. If you ever had a GPS that spat out random commands that made no sense until you passed your exit, you know how it works. You're in motion and have to make certain maneuvers in order not to crash or get lost. The easiest, clearest, most direct method is the best. Technically, Route 95 through Connecticut runs North and South. The compass proves it actually runs east and west. If you're giving driving directions to someone from Maine to Florida, you could either say: "Take 95 South", or complicate it by saying: "Take 95 South, then west for 60 miles, then South, then west again for 112 miles...". Musical charts are designed for players to quickly and accurately get to the end of the song safely. Complicating it by being theoretically correct for the sake of being correct doesn't make up for a ruined concert. The operation was a success but the patient died sort of thing.
In this case, Bb is easier to read at speed than A# could ever be. Always take the easiest route to achieve your goal without compromising the result.