It might be more of a commercial building thing than a domestic construction one. I know I've seen it in a number of videos of renovations of larger buildings, including barns. I might have the time range off. Big cities are full of 1920's constructions especially on the West Coast, and they don't do that.

My old house (~1920) had diagonal shiplap under the floors instead of plywood (but parallel in the oldest walls). That's probably more for making hardwood floors easier to install than structural integrity.

Edit: The internet says 'start of the 20th century' phased out in 1950's (plywood), and 'sometimes diagonally'.