As to the matter of the left-side spokes having the nipples at a right-side oriented hole (and vice versa,)
Some deep section rims have access holes that are opposite the exit holes. This gives the impression that the
spokes are cross-oriented, if that is proper nomenclature.
Are you looking at the offset of the access hole or the exit hole?
Your rim MIGHT be this way. Just a thought..

As to the radial angle of the spokes from the flange to the rim, it appears
that the spokes from one flange are not traversing to the rim in the correct stagger.They are incorrectly phased.
That is to say, spokes from the left flange should be laced to the hole on the other side of the right side spoke.
That would result in no apparent crossing when viewed from the side.
Who is to say what the design intent was from the factory??