Load Balancing Not Happening for Pool Members of a Performance Layer VIP

Hi, thanks for the information.

 Do You think configuring persistence will help here ?

Nope, the opposite. The persistence will try to sent traffic to server that are persisted, means that traffic will be balanced at first time for a specific criteria.

I did not check from CLI if connections are closing. How to see that ? tcpdump

Tcpdump should be a good option, plus, you can observe connections to all backend server by port 8001:

tmsh show sys connection ss-server-port 8001

https://support.f5.com/csp/article/K40033505

If you confirm that connections are closing and LB still fails, did you check the health for the pool members? All they are UP and ready to traffic?

Regards.