I’m fairly sure that using StatusManager is not right approach – via StatusManager you are going to change status name within whole Jira instance. Not only per issue.
The most clean and preferable solution is to use just only one general status with name “Approval” and one additional custom field (of single select list type) with options “SE Approval”, “PM Approval”, etc.
Always try to reduce status number and store extra information in custom fields.
Some custom development is necessary in this case.
I strongly recommend to you to use the first suggested solution.
Hopefully it will help you anyway.