Not sure if this is already suggested, I tried to find one but couldn't find so writing here.
I think its better if there is a section in Teams for videos list shared with user.
With following options.
1) All Videos
2) Meeting recordings
3) Uploaded Videos By user
4) Videos by TAG (May be tags related to topic, project, case number or anything which can be searched) .. If will be a good option for video search?
I came up with these suggestions as I found it difficult to find a meeting recording for meeting which I had with my team member sometime back and cant go through all the chat logs as it was huge.
Hope it all makes sense?