cookie Persistance types expected behavior

I'm trying to configure a cookie persistence based on a specific cookie sent from the server side one of the main goals is to make the back-end server in charge of the session timeout/expiry

 

expecting that LTM will not do any changes to the cookie name/value and it will forward it as its between the client and the server and it will be used for persistence purposes.

 

can this be done using (HTTP Cookie Passive) with session cookie (checked) ??

 

also for testing i tried to change the cookie method to rewrite/insert still it was sending the cookie with same name as it has been sent from the back-end server seems to me not as it should be specially in the insert option.