Yes. The live captioner is there for a purpose similar to that of an ASL Interpreter; to provide captions for the communication that is occurring live. Realtime Captioning affords a D/deaf or hard-of-hearing student the ability to actively participate in classroom discussions, questions, responses, and breakout sessions without losing quality of access to the material as it is presented.
The captioning of recorded Zoom lectures ensures that the student has equal access which is unhindered by quality...
The Captioned Media accommodation applies to any media that is pre-recorded and played during a lecture, posted on a course website, or otherwise included in the course. For instance, if you have a folder of films or videos of interest on your bCourses site, those should be available in captioned formats.
If you post recordings of lectures, office hours, discussions, et cetera, those all should include captions, even if a Realtime Captioner was present during the live session.