When migrating a video from Stream (Classic) that enables the option 'Allow everyone in your company to view this video', when the video is migrated to SharePoint or OneDrive will in inherit the same permission (possibly as the EEEU group)?
The EEEU permissions will be applied during the migration BUT you must be sure that the same permissions are added to the SharePoint site that you are migrating the videos into. Whatever site you migrate the videos into, be sure to go into the site permissions and add EEEU to the Site visitors group. That should mitigate most of your issues. If you have any issues once you do that. . . you may have to look a little more granularly into what the site, library, and folder permissions look like to get them all aligned.