Q:

"motion picture" vs. "video"

From Oxford Languages

motion picture: a cinema film

According to the definition, some types of video are not motion pictures, such as screen recording, animation, is my understanding correct?

A:

The Oxford Advanced Learner's Dictionary gives the following definition for motion picture.

(especially North American English) a film that is made for the cinema

Yes, a screen recording isn't a motion picture because it's not a film made for the cinema, but motion picture is still used for an animation movie.

