Here's a pic of a bass string showing windings:
View attachment 5078085
In this case the first and second windings go the same way around the core, but the outer winding goes the opposite direction. Different manufacturers do it differently - some alternate widing direction for each layer. And the number of layers varies from brand to brand, model to model. And it may be that the maker of your strings needed to add another layer of wrap for the B string and did it reverse to the others. Very common.
Yep - even number of windings versus odd number of windings - the manufacturing house does all the initial winds one way, then the subsequent ones alternate. If you wind all the windings in the same direction, you make a solid/stiff string, negating the reason for doing windings in the first place