Who owns templates my team creates in Salesforce?

Every template is ultimately owned and controlled in HelloSign.com settings by the administrator who went through the “Connection” flow. However, Salesforce users with the basic HelloSign_User permission set assigned, and no other restrictions imposed, will show as the "owner" and "created by" user in Salesforce for those templates they actually create. If the same template is viewed at HelloSign.com it will show as "shared by" the Team admin (who will be the connected user).

More details regarding template creation, types, editing, and restrictions can be found in the Admin Guide.