A beam will normally bend about its neutral axis and twist about its torsional axis and the two should be quite close, especially for a wing. Any ply angles should be roughly relative to the NA. The wing will usually have a nominal drawing axis which approximates the NA (although the wing drawing axis for a cover is sometimes along one of the spars where it intersects the skin). One could make the argument that torsion plies should be 45° to the torsional axis and bending plies should be parallel to the NA.
I'm not too sure why an all-45° antisymmetric pattern is suggested (though see below). A spar web might be mostly 45 away from the caps but all-45 is not very sensible for a wing cover, even for a small wing. A wing's main loading is bending and that means the skins should resist spanwise tension and compression, which needs spanwise plies. A common layup on airliner wings is something like 40% plies at 0°, 40% at ±45° and 20% at 90°. In the past (late 19-teens, the 1920s and early '30s) it was the practice to put most of the bending resistance in the spar caps but this was mainly because the skins were fabric and could take no endload. Once skins could take endload (mainly 'cos they were metal but see the Mosquito's endload-carrying sandwich upper skin) they were used for that.
On the other hand if the spar caps are chosen as the main bending capability for some manufacturing reason then ±45° for the skins makes sense to carry the torsion (the spar webs, being mainly for vertical shear, have a lot of 45° plies and are good for carrying the torsion with the skins as a box; very efficient for torsion).
If the skins are like old-style fabric with no shear capability, then the torsion is carried by differential spar bending which is not very efficient and proved in dangerous in the first monoplane fighters of WWI. Having too little shear capability in the skins tends towards this situation. (With non-endload-and-non-shearload-carrying skins, ribs were often diagonal rather than chordwise (the only passably efficient way to carry torsion for an open section); see the Hurricane's fabric-covered tailplane (see attached (though not a very good view) and also see
±45° is ok for skins as long as there're some pretty meaty spar caps for the bending.
I've used the terms skins and covers interchangeably; the cover of a big wing usually also includes stringers. 'Skin' in this case includes any such capability for carrying endload (such as the Mosquito's sandwich upper skin/cover).