Employees are not able to request eSign requests for themselves, as you can see in the all employees own data permission group. Permissions to request eSign cannot be enabled.
Once a task list is triggered following a self service flow, it means that the eSign requestor is the employee who triggered the flow.
Since employees cannot request for themselves, the eSign task won’t be triggered at all.
We do have a workaround for this as seen here below:
