Processing was normal -- your choices are normal, push or pull to adjust density. In rarer cases, there is something like skip bleach processing which leaves black silver in the film that is normally removed in processing. There isn't a processing technique that adds blue to the image.
Sure, you can set a digital camera near 3200K and get a blue cast in daylight, works the same as with film. Because sensors are naturally balanced for near daylight (they prefer more blue wavelengths being less sensitive to blue) you can pick up a little more noise in a 3200K setting though this only becomes a problem if you are using high ISO settings. But a few people will use blue filters instead of setting the color balance to 3200K to get a blue look in the daytime on a digital camera. It's less common now that digital cameras have gotten better.
"Skyfall" was shot on the Alexa and the later scenes at the Skyfall farmhouse in Scotland get bluer and bluer as the story goes from day into night. I'm sure there is probably some blue-ish day scenes somewhere in the Hobbit movies, shot on the Red Epic camera.
Blue dusky scenes are not uncommon.
If you go outside and shoot a test with your digital still camera set to 3200K, I would try some shots that are exposed darker than normal. The same blue cast can look pale and washed out if the exposure is bright but deep blue if the shot is dark.