The use of 'geodesic' design was very much a Barnes Wallis personal mission. He used geodesics in the design of airships around 1930, aircraft like the 1935 Wellesley and 1938 Wellington, and a radiotelescope in 1955. Other designers did not go that route.
Another more practical reason is tooling. Geodesic aircraft structures require special production tooling. Once a factory has invested in geodesic production tooling they would be more willing to incorporate geodesics in further similar designs.
Interesting to note that the two aircraft mentioned above are named for the same man. It was a Mr Arthur Wesley b1769 who changed his name to the more impressive sounding Wellesley in 1798, and, as his career advanced, changed his name again, this time to Wellington, around 1810 and became Duke of Wellington a few years later..