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Assignments & Discussions allow students to create media recordings on Canvas (instead of uploading a separate file), as shown below. If Quizzes Next allowed students to record in the test/quiz, students wouldn't need to leave the test screen to upload their videos. This would allow a more secure testing environment for questions that require a video recording.
Voted! I imagine some reading here might already be aware of this closely-related, long-running feature idea:
Some of the discussion there talks about language-instruction needs, and video is mentioned in the comments.