As part of Sugar Connect 25.0, we made changes in how records, like an archived email, are created in Sugar. Now those records show as created by the logged in user as opposed to the admin user. This was in support of one of our most highly requested enhancement requests (86083).
An unintended consequence of this change is that users now need to have Mass Update permission on Email in order to archive an email using Sugar Connect. We are tracking this as a known issue (88932) and will work to correct it. We apologize for any inconvenience caused by this issue.