When search "kraft transformer insulation" > images will show lots of photos of transformers with new insulation before impregnation.
In the old days of hand stacking, the lams were often not individually stacked opposite handed.
They did it "3 in hand" etc to save time. It was a tedious job.
So if you look at an old transformer near the ends of the E, you will see the number of lams across the gap.
That increased I mag a bit compared to piece by piece stacking in machine.
In the larger transformers, there were two sets of lam packs (of different dimensions) laid alternately to distribute the gaps.
Of course, in a gapped core, like a DC choke, the lams are all in same orientation.