I think there is the possibility we're all saying the same thing, and very vehemently at that.

Are we talking about the angle between the plaiting/weaving material and the main work direction, or between the individual strands, the warp and the woof (or weft, if you prefer)? I'm inclined to think the former, but we should all be talking about the same angle when we agree or disagree...

(Cloth can be woven with warp and woof at right angles, and then cut "on the bias" so the threads make a 45-degree angle to the length of the work...neckties, for example)