Within the channel, the group video call is recorded. The purple thumbnail is visible and the 3 "more" dots have a drop-down. The option to view in Streams or Sharepoint isn't there (but it is for other members of my organization)
@cvoth2020 - From the screenshot it looks like your meeting recording didn't go to SharePoint or to Stream, thus you don't see any option other than to download it. I think that's what you are seeing.
This happens if
There was some issue uploading to ODB/SPO/Stream
Your user has an A1 license which is not allowed to upload meeting recordings to Stream anymore. This is a free license and we aren't allowing those licenses to upload meeting recordings to Stream anymore.
If it's #2 you'd need your organization to opt you into saving meeting recordings to ODB/SPO which allows A1 users to record meetings and have them stored. https://aka.ms/tmrodsp