Is this irule effecting persistence if called for any VIP

The rule you've presented (slightly modified):

when LB_SELECTED {
     It checks whether the IP address is within the class group preloaded with
     IP addresses that need to validate, you can put host or network
    if { [class match [IP::client_addr] equals source_ip_addr ] } {
         Is written to the log for review by ssh with the following command:
        tail -f /var/log/ltm
        log local0. "Source Ip Adress [IP::client_addr], Server Selected [LB::server]"
    } 
}

only logs the source address and the chosen pool member IF the source address matches an IP/subnet in your data group (source_ip_addr). What do you need it to do?